How to Find GCF of 707/57, 524/4541?

GCF of 707/57, 524/4541

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 707/57, 524/4541 i.e 1/13623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 707/57, 524/4541.

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 707/57,524/4541?

Given fractions are 707/57,524/4541

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 707/57,524/4541, numerators are 707,524

Denominators are 57,4541

The GCF of 707,524 is 1 .

LCM of 57,4541 is 13623.

The greatest common factor of 707/57,524/4541 = [GCF of 707,524]/[LCM of 57,4541]= 1/13623

Therefore, the GCF of 707/57,524/4541 is 1/13623.

Greatest Common Factor of 707,524

To find the highest common factor of 707,524, we have to find the factors of both numbers and list the highest common factor.

The factors of 707 are 1, 7, 101, 707

The factors of 524 are 1, 2, 4, 131, 262, 524

The HCF of 707,524 is 1.

Lets's calculate GCF of 707,524

Greatest Common Factor (GCF) of 707,524 By Common Division

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

Greatest Common Factor of 707,524 By Matching Biggest Common Factor Method

Now, list down the factors of 707

1,7,101,707

Now, list down the factors of 524

1,2,4,131,262,524

Greatest Common Factor

We found the factors 707,524 . The biggest common factor number is the GCF number.
So the greatest common factor 707,524 is 1.

Lets's calculate LCM of 57,4541

Lowest Common Multiple of 57,4541 using Common Division

19	57, 4541
	3, 239

∴ So the LCM of the given numbers is 19 x 3 x 239 = 13623

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13623

Therefore, the GCF of Fractions 707/57,524/4541 is 1/13623

Least Common Multiple of 57,4541 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 57,4541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,4541) = 19

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

GCF(57,4541) x common factors =19 x 1 = 19

LCM(57,4541) = ( 57 × 4541 ) / 19

LCM(57,4541) = 258837 / 19

LCM(57,4541) = 13623

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FAQs on GCF of Fractions of 707/57, 524/4541

1. What is the HCF of 707,524?

The HCF of 707,524 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 707/57, 524/4541?

Answer: GCF of Numerators as per given numbers 707/57, 524/4541 is

GCF of Numerators i.e. for 707,524 is 1

LCM of denominators i.e. for 57,4541 is 13623.

Thus, GCF of Fractions is 1/13623.Finally, GCF of Fractions for 707/57, 524/4541 is 1/13623.