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GCF of 976/72, 394/841

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 976/72, 394/841 i.e 2/60552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/72, 394/841.

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 976/72,394/841?

Given fractions are 976/72,394/841

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 976/72,394/841, numerators are 976,394

Denominators are 72,841

The GCF of 976,394 is 2 .

LCM of 72,841 is 60552.

The greatest common factor of 976/72,394/841 = [GCF of 976,394]/[LCM of 72,841]= 2/60552

Therefore, the GCF of 976/72,394/841 is 2/60552.

Greatest Common Factor of 976,394

To find the highest common factor of 976,394, we have to find the factors of both numbers and list the highest common factor.

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

The factors of 394 are 1, 2, 197, 394

The HCF of 976,394 is 2.

Lets's calculate GCF of 976,394

Greatest Common Factor (GCF) of 976,394 By Common Division

2 976, 394
488, 197

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 976,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,394 By Matching Biggest Common Factor Method

Now, list down the factors of 976

:

1,2,4,8,16,61,122,244,488,976

Now, list down the factors of 394

:

1,2,197,394

Greatest Common Factor

We found the factors 976,394 . The biggest common factor number is the GCF number.
So the greatest common factor 976,394 is 2.

Lets's calculate LCM of 72,841

Lowest Common Multiple of 72,841 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 60552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60552

Therefore, the GCF of Fractions 976/72,394/841 is 2/60552

Least Common Multiple of 72,841 with GCF Formula

Least Common Multiple of 72,841 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 72,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,841) = 1

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

GCF(72,841) x common factors =1 x 1 = 1

LCM(72,841) = ( 72 × 841 ) / 1

LCM(72,841) = 60552 / 1

LCM(72,841) = 60552


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FAQs on GCF of Fractions of 976/72, 394/841

1. What is the HCF of 976,394?

The HCF of 976,394 is 2

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 976/72, 394/841?

Answer: GCF of Numerators as per given numbers 976/72, 394/841 is

GCF of Numerators i.e. for 976,394 is 2

LCM of denominators i.e. for 72,841 is 60552.

Thus, GCF of Fractions is 2/60552.Finally, GCF of Fractions for 976/72, 394/841 is 2/60552.