How to Find GCF of 7721/137, 5786/9278?

GCF of 7721/137, 5786/9278

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 7721/137, 5786/9278 i.e 1/1271086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7721/137, 5786/9278.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7721/137,5786/9278?

Given fractions are 7721/137,5786/9278

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 7721/137,5786/9278, numerators are 7721,5786

Denominators are 137,9278

The GCF of 7721,5786 is 1 .

LCM of 137,9278 is 1271086.

The greatest common factor of 7721/137,5786/9278 = [GCF of 7721,5786]/[LCM of 137,9278]= 1/1271086

Therefore, the GCF of 7721/137,5786/9278 is 1/1271086.

Greatest Common Factor of 7721,5786

To find the highest common factor of 7721,5786, we have to find the factors of both numbers and list the highest common factor.

The factors of 7721 are 1, 7, 1103, 7721

The factors of 5786 are 1, 2, 11, 22, 263, 526, 2893, 5786

The HCF of 7721,5786 is 1.

Lets's calculate GCF of 7721,5786

Greatest Common Factor (GCF) of 7721,5786 By Common Division

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

Greatest Common Factor of 7721,5786 By Matching Biggest Common Factor Method

Now, list down the factors of 7721

1,7,1103,7721

Now, list down the factors of 5786

1,2,11,22,263,526,2893,5786

Greatest Common Factor

We found the factors 7721,5786 . The biggest common factor number is the GCF number.
So the greatest common factor 7721,5786 is 1.

Lets's calculate LCM of 137,9278

Lowest Common Multiple of 137,9278 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1271086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1271086

Therefore, the GCF of Fractions 7721/137,5786/9278 is 1/1271086

Least Common Multiple of 137,9278 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 137,9278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,9278) = 1

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

GCF(137,9278) x common factors =1 x 1 = 1

LCM(137,9278) = ( 137 × 9278 ) / 1

LCM(137,9278) = 1271086 / 1

LCM(137,9278) = 1271086

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FAQs on GCF of Fractions of 7721/137, 5786/9278

1. What is the HCF of 7721,5786?

The HCF of 7721,5786 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 7721/137, 5786/9278?

Answer: GCF of Numerators as per given numbers 7721/137, 5786/9278 is

GCF of Numerators i.e. for 7721,5786 is 1

LCM of denominators i.e. for 137,9278 is 1271086.

Thus, GCF of Fractions is 1/1271086.Finally, GCF of Fractions for 7721/137, 5786/9278 is 1/1271086.