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GCF of 724/975, 6934/9125

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 724/975, 6934/9125 i.e 2/355875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/975, 6934/9125.

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 724/975,6934/9125?

Given fractions are 724/975,6934/9125

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 724/975,6934/9125, numerators are 724,6934

Denominators are 975,9125

The GCF of 724,6934 is 2 .

LCM of 975,9125 is 355875.

The greatest common factor of 724/975,6934/9125 = [GCF of 724,6934]/[LCM of 975,9125]= 2/355875

Therefore, the GCF of 724/975,6934/9125 is 2/355875.

Greatest Common Factor of 724,6934

To find the highest common factor of 724,6934, we have to find the factors of both numbers and list the highest common factor.

The factors of 724 are 1, 2, 4, 181, 362, 724

The factors of 6934 are 1, 2, 3467, 6934

The HCF of 724,6934 is 2.

Lets's calculate GCF of 724,6934

Greatest Common Factor (GCF) of 724,6934 By Common Division

2 724, 6934
362, 3467

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

Greatest Common Factor of 724,6934 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,6934 By Matching Biggest Common Factor Method

Now, list down the factors of 724

:

1,2,4,181,362,724

Now, list down the factors of 6934

:

1,2,3467,6934

Greatest Common Factor

We found the factors 724,6934 . The biggest common factor number is the GCF number.
So the greatest common factor 724,6934 is 2.

Lets's calculate LCM of 975,9125

Lowest Common Multiple of 975,9125 using Common Division

5 975, 9125
5 195, 1825
39, 365

∴ So the LCM of the given numbers is 5 x 5 x 39 x 365 = 355875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/355875

Therefore, the GCF of Fractions 724/975,6934/9125 is 2/355875

Least Common Multiple of 975,9125 with GCF Formula

Least Common Multiple of 975,9125 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 975,9125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,9125) = 25

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

GCF(975,9125) x common factors =25 x 1 = 25

LCM(975,9125) = ( 975 × 9125 ) / 25

LCM(975,9125) = 8896875 / 25

LCM(975,9125) = 355875


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FAQs on GCF of Fractions of 724/975, 6934/9125

1. What is the HCF of 724,6934?

The HCF of 724,6934 is 2

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 724/975, 6934/9125?

Answer: GCF of Numerators as per given numbers 724/975, 6934/9125 is

GCF of Numerators i.e. for 724,6934 is 2

LCM of denominators i.e. for 975,9125 is 355875.

Thus, GCF of Fractions is 2/355875.Finally, GCF of Fractions for 724/975, 6934/9125 is 2/355875.