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GCF of 935/24, 521/710

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 935/24, 521/710 i.e 1/8520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/24, 521/710.

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 935/24,521/710?

Given fractions are 935/24,521/710

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 935/24,521/710, numerators are 935,521

Denominators are 24,710

The GCF of 935,521 is 1 .

LCM of 24,710 is 8520.

The greatest common factor of 935/24,521/710 = [GCF of 935,521]/[LCM of 24,710]= 1/8520

Therefore, the GCF of 935/24,521/710 is 1/8520.

Greatest Common Factor of 935,521

To find the highest common factor of 935,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935

The factors of 521 are 1, 521

The HCF of 935,521 is 1.

Lets's calculate GCF of 935,521

Greatest Common Factor (GCF) of 935,521 By Common Division

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

Greatest Common Factor of 935,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,521 By Matching Biggest Common Factor Method

Now, list down the factors of 935

:

1,5,11,17,55,85,187,935

Now, list down the factors of 521

:

1,521

Greatest Common Factor

We found the factors 935,521 . The biggest common factor number is the GCF number.
So the greatest common factor 935,521 is 1.

Lets's calculate LCM of 24,710

Lowest Common Multiple of 24,710 using Common Division

2 24, 710
12, 355

∴ So the LCM of the given numbers is 2 x 12 x 355 = 8520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8520

Therefore, the GCF of Fractions 935/24,521/710 is 1/8520

Least Common Multiple of 24,710 with GCF Formula

Least Common Multiple of 24,710 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 24,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,710) = 2

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

GCF(24,710) x common factors =2 x 1 = 2

LCM(24,710) = ( 24 × 710 ) / 2

LCM(24,710) = 17040 / 2

LCM(24,710) = 8520


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FAQs on GCF of Fractions of 935/24, 521/710

1. What is the HCF of 935,521?

The HCF of 935,521 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 935/24, 521/710?

Answer: GCF of Numerators as per given numbers 935/24, 521/710 is

GCF of Numerators i.e. for 935,521 is 1

LCM of denominators i.e. for 24,710 is 8520.

Thus, GCF of Fractions is 1/8520.Finally, GCF of Fractions for 935/24, 521/710 is 1/8520.