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GCF of 731/981, 6911/1010

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 731/981, 6911/1010 i.e 1/990810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 731/981, 6911/1010.

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 731/981,6911/1010?

Given fractions are 731/981,6911/1010

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 731/981,6911/1010, numerators are 731,6911

Denominators are 981,1010

The GCF of 731,6911 is 1 .

LCM of 981,1010 is 990810.

The greatest common factor of 731/981,6911/1010 = [GCF of 731,6911]/[LCM of 981,1010]= 1/990810

Therefore, the GCF of 731/981,6911/1010 is 1/990810.

Greatest Common Factor of 731,6911

To find the highest common factor of 731,6911, we have to find the factors of both numbers and list the highest common factor.

The factors of 731 are 1, 17, 43, 731

The factors of 6911 are 1, 6911

The HCF of 731,6911 is 1.

Lets's calculate GCF of 731,6911

Greatest Common Factor (GCF) of 731,6911 By Common Division

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

Greatest Common Factor of 731,6911 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,6911 By Matching Biggest Common Factor Method

Now, list down the factors of 731

:

1,17,43,731

Now, list down the factors of 6911

:

1,6911

Greatest Common Factor

We found the factors 731,6911 . The biggest common factor number is the GCF number.
So the greatest common factor 731,6911 is 1.

Lets's calculate LCM of 981,1010

Lowest Common Multiple of 981,1010 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 990810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990810

Therefore, the GCF of Fractions 731/981,6911/1010 is 1/990810

Least Common Multiple of 981,1010 with GCF Formula

Least Common Multiple of 981,1010 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 981,1010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,1010) = 1

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

GCF(981,1010) x common factors =1 x 1 = 1

LCM(981,1010) = ( 981 × 1010 ) / 1

LCM(981,1010) = 990810 / 1

LCM(981,1010) = 990810


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 731/981, 6911/1010

1. What is the HCF of 731,6911?

The HCF of 731,6911 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 731/981, 6911/1010?

Answer: GCF of Numerators as per given numbers 731/981, 6911/1010 is

GCF of Numerators i.e. for 731,6911 is 1

LCM of denominators i.e. for 981,1010 is 990810.

Thus, GCF of Fractions is 1/990810.Finally, GCF of Fractions for 731/981, 6911/1010 is 1/990810.