LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 538/113, 521/657

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 538/113, 521/657 i.e 1/74241 easily. The following is the detailed procedure to determine the greatest common factor of fractions 538/113, 521/657.

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 538/113,521/657?

Given fractions are 538/113,521/657

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 538/113,521/657, numerators are 538,521

Denominators are 113,657

The GCF of 538,521 is 1 .

LCM of 113,657 is 74241.

The greatest common factor of 538/113,521/657 = [GCF of 538,521]/[LCM of 113,657]= 1/74241

Therefore, the GCF of 538/113,521/657 is 1/74241.

Greatest Common Factor of 538,521

To find the highest common factor of 538,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 538 are 1, 2, 269, 538

The factors of 521 are 1, 521

The HCF of 538,521 is 1.

Lets's calculate GCF of 538,521

Greatest Common Factor (GCF) of 538,521 By Common Division

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

Greatest Common Factor of 538,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,521 By Matching Biggest Common Factor Method

Now, list down the factors of 538

:

1,2,269,538

Now, list down the factors of 521

:

1,521

Greatest Common Factor

We found the factors 538,521 . The biggest common factor number is the GCF number.
So the greatest common factor 538,521 is 1.

Lets's calculate LCM of 113,657

Lowest Common Multiple of 113,657 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 74241

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74241

Therefore, the GCF of Fractions 538/113,521/657 is 1/74241

Least Common Multiple of 113,657 with GCF Formula

Least Common Multiple of 113,657 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 113,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,657) = 1

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

GCF(113,657) x common factors =1 x 1 = 1

LCM(113,657) = ( 113 × 657 ) / 1

LCM(113,657) = 74241 / 1

LCM(113,657) = 74241


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 538/113, 521/657

1. What is the HCF of 538,521?

The HCF of 538,521 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 538/113, 521/657?

Answer: GCF of Numerators as per given numbers 538/113, 521/657 is

GCF of Numerators i.e. for 538,521 is 1

LCM of denominators i.e. for 113,657 is 74241.

Thus, GCF of Fractions is 1/74241.Finally, GCF of Fractions for 538/113, 521/657 is 1/74241.