How to Find GCF of 4361/792, 4972/5637?

GCF of 4361/792, 4972/5637

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 4361/792, 4972/5637 i.e 1/1488168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4361/792, 4972/5637.

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 4361/792,4972/5637?

Given fractions are 4361/792,4972/5637

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 4361/792,4972/5637, numerators are 4361,4972

Denominators are 792,5637

The GCF of 4361,4972 is 1 .

LCM of 792,5637 is 1488168.

The greatest common factor of 4361/792,4972/5637 = [GCF of 4361,4972]/[LCM of 792,5637]= 1/1488168

Therefore, the GCF of 4361/792,4972/5637 is 1/1488168.

Greatest Common Factor of 4361,4972

To find the highest common factor of 4361,4972, we have to find the factors of both numbers and list the highest common factor.

The factors of 4361 are 1, 7, 49, 89, 623, 4361

The factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972

The HCF of 4361,4972 is 1.

Lets's calculate GCF of 4361,4972

Greatest Common Factor (GCF) of 4361,4972 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4361,4972 By Matching Biggest Common Factor Method

Now, list down the factors of 4361

1,7,49,89,623,4361

Now, list down the factors of 4972

1,2,4,11,22,44,113,226,452,1243,2486,4972

Greatest Common Factor

We found the factors 4361,4972 . The biggest common factor number is the GCF number.
So the greatest common factor 4361,4972 is 1.

Lets's calculate LCM of 792,5637

Lowest Common Multiple of 792,5637 using Common Division

3	792, 5637
	264, 1879

∴ So the LCM of the given numbers is 3 x 264 x 1879 = 1488168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1488168

Therefore, the GCF of Fractions 4361/792,4972/5637 is 1/1488168

Least Common Multiple of 792,5637 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 792,5637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,5637) = 3

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

GCF(792,5637) x common factors =3 x 1 = 3

LCM(792,5637) = ( 792 × 5637 ) / 3

LCM(792,5637) = 4464504 / 3

LCM(792,5637) = 1488168

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FAQs on GCF of Fractions of 4361/792, 4972/5637

1. What is the HCF of 4361,4972?

The HCF of 4361,4972 is 1

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 4361/792, 4972/5637?

Answer: GCF of Numerators as per given numbers 4361/792, 4972/5637 is

GCF of Numerators i.e. for 4361,4972 is 1

LCM of denominators i.e. for 792,5637 is 1488168.

Thus, GCF of Fractions is 1/1488168.Finally, GCF of Fractions for 4361/792, 4972/5637 is 1/1488168.