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GCF of 910/77, 982/712

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 910/77, 982/712 i.e 2/54824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/77, 982/712.

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 910/77,982/712?

Given fractions are 910/77,982/712

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 910/77,982/712, numerators are 910,982

Denominators are 77,712

The GCF of 910,982 is 2 .

LCM of 77,712 is 54824.

The greatest common factor of 910/77,982/712 = [GCF of 910,982]/[LCM of 77,712]= 2/54824

Therefore, the GCF of 910/77,982/712 is 2/54824.

Greatest Common Factor of 910,982

To find the highest common factor of 910,982, we have to find the factors of both numbers and list the highest common factor.

The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

The factors of 982 are 1, 2, 491, 982

The HCF of 910,982 is 2.

Lets's calculate GCF of 910,982

Greatest Common Factor (GCF) of 910,982 By Common Division

2 910, 982
455, 491

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

Greatest Common Factor of 910,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,982 By Matching Biggest Common Factor Method

Now, list down the factors of 910

:

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Now, list down the factors of 982

:

1,2,491,982

Greatest Common Factor

We found the factors 910,982 . The biggest common factor number is the GCF number.
So the greatest common factor 910,982 is 2.

Lets's calculate LCM of 77,712

Lowest Common Multiple of 77,712 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 54824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54824

Therefore, the GCF of Fractions 910/77,982/712 is 2/54824

Least Common Multiple of 77,712 with GCF Formula

Least Common Multiple of 77,712 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 77,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,712) = 1

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

GCF(77,712) x common factors =1 x 1 = 1

LCM(77,712) = ( 77 × 712 ) / 1

LCM(77,712) = 54824 / 1

LCM(77,712) = 54824


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FAQs on GCF of Fractions of 910/77, 982/712

1. What is the HCF of 910,982?

The HCF of 910,982 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 910/77, 982/712?

Answer: GCF of Numerators as per given numbers 910/77, 982/712 is

GCF of Numerators i.e. for 910,982 is 2

LCM of denominators i.e. for 77,712 is 54824.

Thus, GCF of Fractions is 2/54824.Finally, GCF of Fractions for 910/77, 982/712 is 2/54824.