How to Find GCF of 6955/654, 5091/9845?

GCF of 6955/654, 5091/9845

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 6955/654, 5091/9845 i.e 1/6438630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6955/654, 5091/9845.

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 6955/654,5091/9845?

Given fractions are 6955/654,5091/9845

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 6955/654,5091/9845, numerators are 6955,5091

Denominators are 654,9845

The GCF of 6955,5091 is 1 .

LCM of 654,9845 is 6438630.

The greatest common factor of 6955/654,5091/9845 = [GCF of 6955,5091]/[LCM of 654,9845]= 1/6438630

Therefore, the GCF of 6955/654,5091/9845 is 1/6438630.

Greatest Common Factor of 6955,5091

To find the highest common factor of 6955,5091, we have to find the factors of both numbers and list the highest common factor.

The factors of 6955 are 1, 5, 13, 65, 107, 535, 1391, 6955

The factors of 5091 are 1, 3, 1697, 5091

The HCF of 6955,5091 is 1.

Lets's calculate GCF of 6955,5091

Greatest Common Factor (GCF) of 6955,5091 By Common Division

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

Greatest Common Factor of 6955,5091 By Matching Biggest Common Factor Method

Now, list down the factors of 6955

1,5,13,65,107,535,1391,6955

Now, list down the factors of 5091

1,3,1697,5091

Greatest Common Factor

We found the factors 6955,5091 . The biggest common factor number is the GCF number.
So the greatest common factor 6955,5091 is 1.

Lets's calculate LCM of 654,9845

Lowest Common Multiple of 654,9845 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6438630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6438630

Therefore, the GCF of Fractions 6955/654,5091/9845 is 1/6438630

Least Common Multiple of 654,9845 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 654,9845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,9845) = 1

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

GCF(654,9845) x common factors =1 x 1 = 1

LCM(654,9845) = ( 654 × 9845 ) / 1

LCM(654,9845) = 6438630 / 1

LCM(654,9845) = 6438630

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FAQs on GCF of Fractions of 6955/654, 5091/9845

1. What is the HCF of 6955,5091?

The HCF of 6955,5091 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 6955/654, 5091/9845?

Answer: GCF of Numerators as per given numbers 6955/654, 5091/9845 is

GCF of Numerators i.e. for 6955,5091 is 1

LCM of denominators i.e. for 654,9845 is 6438630.

Thus, GCF of Fractions is 1/6438630.Finally, GCF of Fractions for 6955/654, 5091/9845 is 1/6438630.