QuestionFind the greatest common factor (GCF) for: a) 150, 275, 420 b) 120, 960, 1400 c) 126, 210, 546, 714 d) 220, 308, 484, 988 Then find the least common multiple (LCM) for each.
Studdy Solution
STEP 1
Assumptions1. We are given four sets of numbers and we need to find the greatest common factor (GCF) and least common multiple (LCM) for each set.
. The GCF of a set of numbers is the largest number that divides each of the numbers without leaving a remainder.
3. The LCM of a set of numbers is the smallest number that is a multiple of each of the numbers.
STEP 2
Let's start with the first set of numbers . To find the GCF, we need to find the factors of each number and then determine the largest factor that they all share.
STEP 3
Find the factors of each number in the first set.
Factors of :
Factors of :
Factors of :
STEP 4
The greatest common factor of is $$.
STEP 5
To find the LCM, we need to find the multiples of each number and then determine the smallest multiple that they all share.
STEP 6
The least common multiple of is .
STEP 7
Repeat the process for the second set of numbers .
STEP 8
The greatest common factor of is .
STEP 9
The least common multiple of is .
STEP 10
Repeat the process for the third set of numbers .
STEP 11
The greatest common factor of is .
STEP 12
The least common multiple of is .
STEP 13
Repeat the process for the fourth set of numbers .
STEP 14
The greatest common factor of is .
STEP 15
The least common multiple of is .
So, the GCF and LCM for each set of numbers area) GCF = , LCM =
b) GCF = , LCM =
c) GCF = , LCM =
d) GCF = , LCM =
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