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GCF of 835/53, 375/724

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 835/53, 375/724 i.e 5/38372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/53, 375/724.

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 835/53,375/724?

Given fractions are 835/53,375/724

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 835/53,375/724, numerators are 835,375

Denominators are 53,724

The GCF of 835,375 is 5 .

LCM of 53,724 is 38372.

The greatest common factor of 835/53,375/724 = [GCF of 835,375]/[LCM of 53,724]= 5/38372

Therefore, the GCF of 835/53,375/724 is 5/38372.

Greatest Common Factor of 835,375

To find the highest common factor of 835,375, we have to find the factors of both numbers and list the highest common factor.

The factors of 835 are 1, 5, 167, 835

The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375

The HCF of 835,375 is 5.

Lets's calculate GCF of 835,375

Greatest Common Factor (GCF) of 835,375 By Common Division

5 835, 375
167, 75

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 835,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,375 By Matching Biggest Common Factor Method

Now, list down the factors of 835

:

1,5,167,835

Now, list down the factors of 375

:

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 835,375 . The biggest common factor number is the GCF number.
So the greatest common factor 835,375 is 5.

Lets's calculate LCM of 53,724

Lowest Common Multiple of 53,724 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/38372

Therefore, the GCF of Fractions 835/53,375/724 is 5/38372

Least Common Multiple of 53,724 with GCF Formula

Least Common Multiple of 53,724 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 53,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,724) = 1

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

GCF(53,724) x common factors =1 x 1 = 1

LCM(53,724) = ( 53 × 724 ) / 1

LCM(53,724) = 38372 / 1

LCM(53,724) = 38372


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FAQs on GCF of Fractions of 835/53, 375/724

1. What is the HCF of 835,375?

The HCF of 835,375 is 5

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 835/53, 375/724?

Answer: GCF of Numerators as per given numbers 835/53, 375/724 is

GCF of Numerators i.e. for 835,375 is 5

LCM of denominators i.e. for 53,724 is 38372.

Thus, GCF of Fractions is 5/38372.Finally, GCF of Fractions for 835/53, 375/724 is 5/38372.