How to Find GCF of 3979/941, 8557/8735?

GCF of 3979/941, 8557/8735

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 3979/941, 8557/8735 i.e 1/8219635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3979/941, 8557/8735.

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 3979/941,8557/8735?

Given fractions are 3979/941,8557/8735

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 3979/941,8557/8735, numerators are 3979,8557

Denominators are 941,8735

The GCF of 3979,8557 is 1 .

LCM of 941,8735 is 8219635.

The greatest common factor of 3979/941,8557/8735 = [GCF of 3979,8557]/[LCM of 941,8735]= 1/8219635

Therefore, the GCF of 3979/941,8557/8735 is 1/8219635.

Greatest Common Factor of 3979,8557

To find the highest common factor of 3979,8557, we have to find the factors of both numbers and list the highest common factor.

The factors of 3979 are 1, 23, 173, 3979

The factors of 8557 are 1, 43, 199, 8557

The HCF of 3979,8557 is 1.

Lets's calculate GCF of 3979,8557

Greatest Common Factor (GCF) of 3979,8557 By Common Division

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

Greatest Common Factor of 3979,8557 By Matching Biggest Common Factor Method

Now, list down the factors of 3979

1,23,173,3979

Now, list down the factors of 8557

1,43,199,8557

Greatest Common Factor

We found the factors 3979,8557 . The biggest common factor number is the GCF number.
So the greatest common factor 3979,8557 is 1.

Lets's calculate LCM of 941,8735

Lowest Common Multiple of 941,8735 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8219635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8219635

Therefore, the GCF of Fractions 3979/941,8557/8735 is 1/8219635

Least Common Multiple of 941,8735 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 941,8735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,8735) = 1

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

GCF(941,8735) x common factors =1 x 1 = 1

LCM(941,8735) = ( 941 × 8735 ) / 1

LCM(941,8735) = 8219635 / 1

LCM(941,8735) = 8219635

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3979/941, 8557/8735

1. What is the HCF of 3979,8557?

The HCF of 3979,8557 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 3979/941, 8557/8735?

Answer: GCF of Numerators as per given numbers 3979/941, 8557/8735 is

GCF of Numerators i.e. for 3979,8557 is 1

LCM of denominators i.e. for 941,8735 is 8219635.

Thus, GCF of Fractions is 1/8219635.Finally, GCF of Fractions for 3979/941, 8557/8735 is 1/8219635.