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GCF of 716/11, 958/681

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 716/11, 958/681 i.e 2/7491 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/11, 958/681.

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 716/11,958/681?

Given fractions are 716/11,958/681

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 716/11,958/681, numerators are 716,958

Denominators are 11,681

The GCF of 716,958 is 2 .

LCM of 11,681 is 7491.

The greatest common factor of 716/11,958/681 = [GCF of 716,958]/[LCM of 11,681]= 2/7491

Therefore, the GCF of 716/11,958/681 is 2/7491.

Greatest Common Factor of 716,958

To find the highest common factor of 716,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 716 are 1, 2, 4, 179, 358, 716

The factors of 958 are 1, 2, 479, 958

The HCF of 716,958 is 2.

Lets's calculate GCF of 716,958

Greatest Common Factor (GCF) of 716,958 By Common Division

2 716, 958
358, 479

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

Greatest Common Factor of 716,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,958 By Matching Biggest Common Factor Method

Now, list down the factors of 716

:

1,2,4,179,358,716

Now, list down the factors of 958

:

1,2,479,958

Greatest Common Factor

We found the factors 716,958 . The biggest common factor number is the GCF number.
So the greatest common factor 716,958 is 2.

Lets's calculate LCM of 11,681

Lowest Common Multiple of 11,681 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7491

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7491

Therefore, the GCF of Fractions 716/11,958/681 is 2/7491

Least Common Multiple of 11,681 with GCF Formula

Least Common Multiple of 11,681 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 11,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,681) = 1

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

GCF(11,681) x common factors =1 x 1 = 1

LCM(11,681) = ( 11 × 681 ) / 1

LCM(11,681) = 7491 / 1

LCM(11,681) = 7491


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FAQs on GCF of Fractions of 716/11, 958/681

1. What is the HCF of 716,958?

The HCF of 716,958 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 716/11, 958/681?

Answer: GCF of Numerators as per given numbers 716/11, 958/681 is

GCF of Numerators i.e. for 716,958 is 2

LCM of denominators i.e. for 11,681 is 7491.

Thus, GCF of Fractions is 2/7491.Finally, GCF of Fractions for 716/11, 958/681 is 2/7491.