How to Find GCF of 8357/291, 2902/8881?

GCF of 8357/291, 2902/8881

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 8357/291, 2902/8881 i.e 1/2584371 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8357/291, 2902/8881.

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 8357/291,2902/8881?

Given fractions are 8357/291,2902/8881

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 8357/291,2902/8881, numerators are 8357,2902

Denominators are 291,8881

The GCF of 8357,2902 is 1 .

LCM of 291,8881 is 2584371.

The greatest common factor of 8357/291,2902/8881 = [GCF of 8357,2902]/[LCM of 291,8881]= 1/2584371

Therefore, the GCF of 8357/291,2902/8881 is 1/2584371.

Greatest Common Factor of 8357,2902

To find the highest common factor of 8357,2902, we have to find the factors of both numbers and list the highest common factor.

The factors of 8357 are 1, 61, 137, 8357

The factors of 2902 are 1, 2, 1451, 2902

The HCF of 8357,2902 is 1.

Lets's calculate GCF of 8357,2902

Greatest Common Factor (GCF) of 8357,2902 By Common Division

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

Greatest Common Factor of 8357,2902 By Matching Biggest Common Factor Method

Now, list down the factors of 8357

1,61,137,8357

Now, list down the factors of 2902

1,2,1451,2902

Greatest Common Factor

We found the factors 8357,2902 . The biggest common factor number is the GCF number.
So the greatest common factor 8357,2902 is 1.

Lets's calculate LCM of 291,8881

Lowest Common Multiple of 291,8881 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2584371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2584371

Therefore, the GCF of Fractions 8357/291,2902/8881 is 1/2584371

Least Common Multiple of 291,8881 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 291,8881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,8881) = 1

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

GCF(291,8881) x common factors =1 x 1 = 1

LCM(291,8881) = ( 291 × 8881 ) / 1

LCM(291,8881) = 2584371 / 1

LCM(291,8881) = 2584371

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FAQs on GCF of Fractions of 8357/291, 2902/8881

1. What is the HCF of 8357,2902?

The HCF of 8357,2902 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 8357/291, 2902/8881?

Answer: GCF of Numerators as per given numbers 8357/291, 2902/8881 is

GCF of Numerators i.e. for 8357,2902 is 1

LCM of denominators i.e. for 291,8881 is 2584371.

Thus, GCF of Fractions is 1/2584371.Finally, GCF of Fractions for 8357/291, 2902/8881 is 1/2584371.