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GCF of 372/30, 752/257

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 372/30, 752/257 i.e 4/7710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 372/30, 752/257.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 372/30,752/257?

Given fractions are 372/30,752/257

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 372/30,752/257, numerators are 372,752

Denominators are 30,257

The GCF of 372,752 is 4 .

LCM of 30,257 is 7710.

The greatest common factor of 372/30,752/257 = [GCF of 372,752]/[LCM of 30,257]= 4/7710

Therefore, the GCF of 372/30,752/257 is 4/7710.

Greatest Common Factor of 372,752

To find the highest common factor of 372,752, 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 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

The HCF of 372,752 is 4.

Lets's calculate GCF of 372,752

Greatest Common Factor (GCF) of 372,752 By Common Division

2 372, 752
2 186, 376
93, 188

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 372,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,752 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 752

:

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 372,752 . The biggest common factor number is the GCF number.
So the greatest common factor 372,752 is 4.

Lets's calculate LCM of 30,257

Lowest Common Multiple of 30,257 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7710

Therefore, the GCF of Fractions 372/30,752/257 is 4/7710

Least Common Multiple of 30,257 with GCF Formula

Least Common Multiple of 30,257 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 30,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,257) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(30,257) x common factors =1 x 1 = 1

LCM(30,257) = ( 30 × 257 ) / 1

LCM(30,257) = 7710 / 1

LCM(30,257) = 7710


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FAQs on GCF of Fractions of 372/30, 752/257

1. What is the HCF of 372,752?

The HCF of 372,752 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 372/30, 752/257?

Answer: GCF of Numerators as per given numbers 372/30, 752/257 is

GCF of Numerators i.e. for 372,752 is 4

LCM of denominators i.e. for 30,257 is 7710.

Thus, GCF of Fractions is 4/7710.Finally, GCF of Fractions for 372/30, 752/257 is 4/7710.