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GCF of 539/315, 8831/675

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 539/315, 8831/675 i.e 1/4725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 539/315, 8831/675.

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 539/315,8831/675?

Given fractions are 539/315,8831/675

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 539/315,8831/675, numerators are 539,8831

Denominators are 315,675

The GCF of 539,8831 is 1 .

LCM of 315,675 is 4725.

The greatest common factor of 539/315,8831/675 = [GCF of 539,8831]/[LCM of 315,675]= 1/4725

Therefore, the GCF of 539/315,8831/675 is 1/4725.

Greatest Common Factor of 539,8831

To find the highest common factor of 539,8831, we have to find the factors of both numbers and list the highest common factor.

The factors of 539 are 1, 7, 11, 49, 77, 539

The factors of 8831 are 1, 8831

The HCF of 539,8831 is 1.

Lets's calculate GCF of 539,8831

Greatest Common Factor (GCF) of 539,8831 By Common Division

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

Greatest Common Factor of 539,8831 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,8831 By Matching Biggest Common Factor Method

Now, list down the factors of 539

:

1,7,11,49,77,539

Now, list down the factors of 8831

:

1,8831

Greatest Common Factor

We found the factors 539,8831 . The biggest common factor number is the GCF number.
So the greatest common factor 539,8831 is 1.

Lets's calculate LCM of 315,675

Lowest Common Multiple of 315,675 using Common Division

3 315, 675
3 105, 225
5 35, 75
7, 15

∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 15 = 4725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4725

Therefore, the GCF of Fractions 539/315,8831/675 is 1/4725

Least Common Multiple of 315,675 with GCF Formula

Least Common Multiple of 315,675 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 315,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,675) = 45

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

GCF(315,675) x common factors =45 x 1 = 45

LCM(315,675) = ( 315 × 675 ) / 45

LCM(315,675) = 212625 / 45

LCM(315,675) = 4725


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FAQs on GCF of Fractions of 539/315, 8831/675

1. What is the HCF of 539,8831?

The HCF of 539,8831 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 539/315, 8831/675?

Answer: GCF of Numerators as per given numbers 539/315, 8831/675 is

GCF of Numerators i.e. for 539,8831 is 1

LCM of denominators i.e. for 315,675 is 4725.

Thus, GCF of Fractions is 1/4725.Finally, GCF of Fractions for 539/315, 8831/675 is 1/4725.