How to Find GCF of 508/472, 7752/1401?

GCF of 508/472, 7752/1401

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 508/472, 7752/1401 i.e 4/661272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 508/472, 7752/1401.

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 508/472,7752/1401?

Given fractions are 508/472,7752/1401

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 508/472,7752/1401, numerators are 508,7752

Denominators are 472,1401

The GCF of 508,7752 is 4 .

LCM of 472,1401 is 661272.

The greatest common factor of 508/472,7752/1401 = [GCF of 508,7752]/[LCM of 472,1401]= 4/661272

Therefore, the GCF of 508/472,7752/1401 is 4/661272.

Greatest Common Factor of 508,7752

To find the highest common factor of 508,7752, we have to find the factors of both numbers and list the highest common factor.

The factors of 508 are 1, 2, 4, 127, 254, 508

The factors of 7752 are 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752

The HCF of 508,7752 is 4.

Lets's calculate GCF of 508,7752

Greatest Common Factor (GCF) of 508,7752 By Common Division

2	508, 7752
2	254, 3876
	127, 1938

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

Greatest Common Factor of 508,7752 By Matching Biggest Common Factor Method

Now, list down the factors of 508

1,2,4,127,254,508

Now, list down the factors of 7752

1,2,3,4,6,8,12,17,19,24,34,38,51,57,68,76,102,114,136,152,204,228,323,408,456,646,969,1292,1938,2584,3876,7752

Greatest Common Factor

We found the factors 508,7752 . The biggest common factor number is the GCF number.
So the greatest common factor 508,7752 is 4.

Lets's calculate LCM of 472,1401

Lowest Common Multiple of 472,1401 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 661272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/661272

Therefore, the GCF of Fractions 508/472,7752/1401 is 4/661272

Least Common Multiple of 472,1401 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 472,1401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,1401) = 1

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

GCF(472,1401) x common factors =1 x 1 = 1

LCM(472,1401) = ( 472 × 1401 ) / 1

LCM(472,1401) = 661272 / 1

LCM(472,1401) = 661272

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FAQs on GCF of Fractions of 508/472, 7752/1401

1. What is the HCF of 508,7752?

The HCF of 508,7752 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 508/472, 7752/1401?

Answer: GCF of Numerators as per given numbers 508/472, 7752/1401 is

GCF of Numerators i.e. for 508,7752 is 4

LCM of denominators i.e. for 472,1401 is 661272.

Thus, GCF of Fractions is 4/661272.Finally, GCF of Fractions for 508/472, 7752/1401 is 4/661272.