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Answer :
- Answer:
GCF = 38
- Step-by-step explanation:
38 = 2×19
76 = 4×19 = 2²×19
114 = 2×3×19
GCF = 2×19 = 38
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The GCF of 38, 76, and 114 is 38
How can the GCF be found?
A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. As four is the largest, we refer to the GCF of 12, 20, and 24 as four.
To find the GCF, we can take them one after the other and find their factors as
38 = 2×19
76 = 4×19 = 2²×19
114 = 2×3×19
GCF = (2×19) = 38
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