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GCF of 9091/956, 3847/7316

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 9091/956, 3847/7316 i.e 1/1748524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9091/956, 3847/7316.

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 9091/956,3847/7316?

Given fractions are 9091/956,3847/7316

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 9091/956,3847/7316, numerators are 9091,3847

Denominators are 956,7316

The GCF of 9091,3847 is 1 .

LCM of 956,7316 is 1748524.

The greatest common factor of 9091/956,3847/7316 = [GCF of 9091,3847]/[LCM of 956,7316]= 1/1748524

Therefore, the GCF of 9091/956,3847/7316 is 1/1748524.

Greatest Common Factor of 9091,3847

To find the highest common factor of 9091,3847, we have to find the factors of both numbers and list the highest common factor.

The factors of 9091 are 1, 9091

The factors of 3847 are 1, 3847

The HCF of 9091,3847 is 1.

Lets's calculate GCF of 9091,3847

Greatest Common Factor (GCF) of 9091,3847 By Common Division

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

Greatest Common Factor of 9091,3847 By Matching Biggest Common Factor Method

Greatest Common Factor of 9091,3847 By Matching Biggest Common Factor Method

Now, list down the factors of 9091

:

1,9091

Now, list down the factors of 3847

:

1,3847

Greatest Common Factor

We found the factors 9091,3847 . The biggest common factor number is the GCF number.
So the greatest common factor 9091,3847 is 1.

Lets's calculate LCM of 956,7316

Lowest Common Multiple of 956,7316 using Common Division

2 956, 7316
2 478, 3658
239, 1829

∴ So the LCM of the given numbers is 2 x 2 x 239 x 1829 = 1748524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1748524

Therefore, the GCF of Fractions 9091/956,3847/7316 is 1/1748524

Least Common Multiple of 956,7316 with GCF Formula

Least Common Multiple of 956,7316 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 956,7316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,7316) = 4

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

GCF(956,7316) x common factors =4 x 1 = 4

LCM(956,7316) = ( 956 × 7316 ) / 4

LCM(956,7316) = 6994096 / 4

LCM(956,7316) = 1748524


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9091/956, 3847/7316

1. What is the HCF of 9091,3847?

The HCF of 9091,3847 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 9091/956, 3847/7316?

Answer: GCF of Numerators as per given numbers 9091/956, 3847/7316 is

GCF of Numerators i.e. for 9091,3847 is 1

LCM of denominators i.e. for 956,7316 is 1748524.

Thus, GCF of Fractions is 1/1748524.Finally, GCF of Fractions for 9091/956, 3847/7316 is 1/1748524.