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GCF of 846/260, 971/752

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 846/260, 971/752 i.e 1/48880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 846/260, 971/752.

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 846/260,971/752?

Given fractions are 846/260,971/752

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 846/260,971/752, numerators are 846,971

Denominators are 260,752

The GCF of 846,971 is 1 .

LCM of 260,752 is 48880.

The greatest common factor of 846/260,971/752 = [GCF of 846,971]/[LCM of 260,752]= 1/48880

Therefore, the GCF of 846/260,971/752 is 1/48880.

Greatest Common Factor of 846,971

To find the highest common factor of 846,971, we have to find the factors of both numbers and list the highest common factor.

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The factors of 971 are 1, 971

The HCF of 846,971 is 1.

Lets's calculate GCF of 846,971

Greatest Common Factor (GCF) of 846,971 By Common Division

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

Greatest Common Factor of 846,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,971 By Matching Biggest Common Factor Method

Now, list down the factors of 846

:

1,2,3,6,9,18,47,94,141,282,423,846

Now, list down the factors of 971

:

1,971

Greatest Common Factor

We found the factors 846,971 . The biggest common factor number is the GCF number.
So the greatest common factor 846,971 is 1.

Lets's calculate LCM of 260,752

Lowest Common Multiple of 260,752 using Common Division

2 260, 752
2 130, 376
65, 188

∴ So the LCM of the given numbers is 2 x 2 x 65 x 188 = 48880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48880

Therefore, the GCF of Fractions 846/260,971/752 is 1/48880

Least Common Multiple of 260,752 with GCF Formula

Least Common Multiple of 260,752 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 260,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,752) = 4

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

GCF(260,752) x common factors =4 x 1 = 4

LCM(260,752) = ( 260 × 752 ) / 4

LCM(260,752) = 195520 / 4

LCM(260,752) = 48880


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FAQs on GCF of Fractions of 846/260, 971/752

1. What is the HCF of 846,971?

The HCF of 846,971 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 846/260, 971/752?

Answer: GCF of Numerators as per given numbers 846/260, 971/752 is

GCF of Numerators i.e. for 846,971 is 1

LCM of denominators i.e. for 260,752 is 48880.

Thus, GCF of Fractions is 1/48880.Finally, GCF of Fractions for 846/260, 971/752 is 1/48880.