GCF of 372/77, 344/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 372/77, 344/678 i.e 4/52206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 372/77, 344/678.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 372/77,344/678?
Given fractions are 372/77,344/678
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 372/77,344/678, numerators are 372,344
Denominators are 77,678
The GCF of 372,344 is 4 .
LCM of 77,678 is 52206.
The greatest common factor of 372/77,344/678 = [GCF of 372,344]/[LCM of 77,678]= 4/52206
Therefore, the GCF of 372/77,344/678 is 4/52206.
To find the highest common factor of 372,344, we have to find the factors of both numbers and list the highest common factor.
The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The HCF of 372,344 is 4.
Lets's calculate GCF of 372,344
| 2 | 372, 344 |
| 2 | 186, 172 |
| 93, 86 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 372,344 By Matching Biggest Common Factor Method
Now, list down the factors of 372
:1,2,3,4,6,12,31,62,93,124,186,372
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 372,344 . The biggest common factor number is the GCF number.
So the greatest common factor 372,344 is 4.
Lets's calculate LCM of 77,678
Given numbers has no common factors except 1. So, there LCM is their product i.e 52206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/52206
Therefore, the GCF of Fractions 372/77,344/678 is 4/52206
Least Common Multiple of 77,678 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 77,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,678) x common factors =1 x 1 = 1
LCM(77,678) = ( 77 × 678 ) / 1
LCM(77,678) = 52206 / 1
LCM(77,678) = 52206
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FAQs on GCF of Fractions of 372/77, 344/678
1. What is the HCF of 372,344?
The HCF of 372,344 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 372/77, 344/678?
Answer: GCF of Numerators as per given numbers 372/77, 344/678 is
GCF of Numerators i.e. for 372,344 is 4
LCM of denominators i.e. for 77,678 is 52206.
Thus, GCF of Fractions is 4/52206.Finally, GCF of Fractions for 372/77, 344/678 is 4/52206.