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GCF of 827/64, 851/926

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 827/64, 851/926 i.e 1/29632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 827/64, 851/926.

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 827/64,851/926?

Given fractions are 827/64,851/926

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 827/64,851/926, numerators are 827,851

Denominators are 64,926

The GCF of 827,851 is 1 .

LCM of 64,926 is 29632.

The greatest common factor of 827/64,851/926 = [GCF of 827,851]/[LCM of 64,926]= 1/29632

Therefore, the GCF of 827/64,851/926 is 1/29632.

Greatest Common Factor of 827,851

To find the highest common factor of 827,851, we have to find the factors of both numbers and list the highest common factor.

The factors of 827 are 1, 827

The factors of 851 are 1, 23, 37, 851

The HCF of 827,851 is 1.

Lets's calculate GCF of 827,851

Greatest Common Factor (GCF) of 827,851 By Common Division

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

Greatest Common Factor of 827,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,851 By Matching Biggest Common Factor Method

Now, list down the factors of 827

:

1,827

Now, list down the factors of 851

:

1,23,37,851

Greatest Common Factor

We found the factors 827,851 . The biggest common factor number is the GCF number.
So the greatest common factor 827,851 is 1.

Lets's calculate LCM of 64,926

Lowest Common Multiple of 64,926 using Common Division

2 64, 926
32, 463

∴ So the LCM of the given numbers is 2 x 32 x 463 = 29632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29632

Therefore, the GCF of Fractions 827/64,851/926 is 1/29632

Least Common Multiple of 64,926 with GCF Formula

Least Common Multiple of 64,926 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 64,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,926) = 2

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

GCF(64,926) x common factors =2 x 1 = 2

LCM(64,926) = ( 64 × 926 ) / 2

LCM(64,926) = 59264 / 2

LCM(64,926) = 29632


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FAQs on GCF of Fractions of 827/64, 851/926

1. What is the HCF of 827,851?

The HCF of 827,851 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 827/64, 851/926?

Answer: GCF of Numerators as per given numbers 827/64, 851/926 is

GCF of Numerators i.e. for 827,851 is 1

LCM of denominators i.e. for 64,926 is 29632.

Thus, GCF of Fractions is 1/29632.Finally, GCF of Fractions for 827/64, 851/926 is 1/29632.