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GCF of 834/772, 971/772

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 834/772, 971/772 i.e 1/772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 834/772, 971/772.

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 834/772,971/772?

Given fractions are 834/772,971/772

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 834/772,971/772, numerators are 834,971

Denominators are 772,772

The GCF of 834,971 is 1 .

LCM of 772,772 is 772.

The greatest common factor of 834/772,971/772 = [GCF of 834,971]/[LCM of 772,772]= 1/772

Therefore, the GCF of 834/772,971/772 is 1/772.

Greatest Common Factor of 834,971

To find the highest common factor of 834,971, we have to find the factors of both numbers and list the highest common factor.

The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834

The factors of 971 are 1, 971

The HCF of 834,971 is 1.

Lets's calculate GCF of 834,971

Greatest Common Factor (GCF) of 834,971 By Common Division

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

Greatest Common Factor of 834,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,971 By Matching Biggest Common Factor Method

Now, list down the factors of 834

:

1,2,3,6,139,278,417,834

Now, list down the factors of 971

:

1,971

Greatest Common Factor

We found the factors 834,971 . The biggest common factor number is the GCF number.
So the greatest common factor 834,971 is 1.

Lets's calculate LCM of 772,772

Lowest Common Multiple of 772,772 using Common Division

2 772, 772
2 386, 386
193 193, 193
1, 1

∴ So the LCM of the given numbers is 2 x 2 x 193 x 1 x 1 = 772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/772

Therefore, the GCF of Fractions 834/772,971/772 is 1/772

Least Common Multiple of 772,772 with GCF Formula

Least Common Multiple of 772,772 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 772,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,772) = 772

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

GCF(772,772) x common factors =772 x 1 = 772

LCM(772,772) = ( 772 × 772 ) / 772

LCM(772,772) = 595984 / 772

LCM(772,772) = 772


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 834/772, 971/772

1. What is the HCF of 834,971?

The HCF of 834,971 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 834/772, 971/772?

Answer: GCF of Numerators as per given numbers 834/772, 971/772 is

GCF of Numerators i.e. for 834,971 is 1

LCM of denominators i.e. for 772,772 is 772.

Thus, GCF of Fractions is 1/772.Finally, GCF of Fractions for 834/772, 971/772 is 1/772.