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GCF of 539/64, 845/796

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 539/64, 845/796 i.e 1/12736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 539/64, 845/796.

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 539/64,845/796?

Given fractions are 539/64,845/796

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 539/64,845/796, numerators are 539,845

Denominators are 64,796

The GCF of 539,845 is 1 .

LCM of 64,796 is 12736.

The greatest common factor of 539/64,845/796 = [GCF of 539,845]/[LCM of 64,796]= 1/12736

Therefore, the GCF of 539/64,845/796 is 1/12736.

Greatest Common Factor of 539,845

To find the highest common factor of 539,845, 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 845 are 1, 5, 13, 65, 169, 845

The HCF of 539,845 is 1.

Lets's calculate GCF of 539,845

Greatest Common Factor (GCF) of 539,845 By Common Division

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

Greatest Common Factor of 539,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,845 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 845

:

1,5,13,65,169,845

Greatest Common Factor

We found the factors 539,845 . The biggest common factor number is the GCF number.
So the greatest common factor 539,845 is 1.

Lets's calculate LCM of 64,796

Lowest Common Multiple of 64,796 using Common Division

2 64, 796
2 32, 398
16, 199

∴ So the LCM of the given numbers is 2 x 2 x 16 x 199 = 12736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12736

Therefore, the GCF of Fractions 539/64,845/796 is 1/12736

Least Common Multiple of 64,796 with GCF Formula

Least Common Multiple of 64,796 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 64,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,796) = 4

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

GCF(64,796) x common factors =4 x 1 = 4

LCM(64,796) = ( 64 × 796 ) / 4

LCM(64,796) = 50944 / 4

LCM(64,796) = 12736


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FAQs on GCF of Fractions of 539/64, 845/796

1. What is the HCF of 539,845?

The HCF of 539,845 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 539/64, 845/796?

Answer: GCF of Numerators as per given numbers 539/64, 845/796 is

GCF of Numerators i.e. for 539,845 is 1

LCM of denominators i.e. for 64,796 is 12736.

Thus, GCF of Fractions is 1/12736.Finally, GCF of Fractions for 539/64, 845/796 is 1/12736.