How to Find GCF of 5079/661, 9175/2138?

GCF of 5079/661, 9175/2138

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 5079/661, 9175/2138 i.e 1/1413218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5079/661, 9175/2138.

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 5079/661,9175/2138?

Given fractions are 5079/661,9175/2138

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 5079/661,9175/2138, numerators are 5079,9175

Denominators are 661,2138

The GCF of 5079,9175 is 1 .

LCM of 661,2138 is 1413218.

The greatest common factor of 5079/661,9175/2138 = [GCF of 5079,9175]/[LCM of 661,2138]= 1/1413218

Therefore, the GCF of 5079/661,9175/2138 is 1/1413218.

Greatest Common Factor of 5079,9175

To find the highest common factor of 5079,9175, we have to find the factors of both numbers and list the highest common factor.

The factors of 5079 are 1, 3, 1693, 5079

The factors of 9175 are 1, 5, 25, 367, 1835, 9175

The HCF of 5079,9175 is 1.

Lets's calculate GCF of 5079,9175

Greatest Common Factor (GCF) of 5079,9175 By Common Division

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

Greatest Common Factor of 5079,9175 By Matching Biggest Common Factor Method

Now, list down the factors of 5079

1,3,1693,5079

Now, list down the factors of 9175

1,5,25,367,1835,9175

Greatest Common Factor

We found the factors 5079,9175 . The biggest common factor number is the GCF number.
So the greatest common factor 5079,9175 is 1.

Lets's calculate LCM of 661,2138

Lowest Common Multiple of 661,2138 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1413218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1413218

Therefore, the GCF of Fractions 5079/661,9175/2138 is 1/1413218

Least Common Multiple of 661,2138 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 661,2138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,2138) = 1

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

GCF(661,2138) x common factors =1 x 1 = 1

LCM(661,2138) = ( 661 × 2138 ) / 1

LCM(661,2138) = 1413218 / 1

LCM(661,2138) = 1413218

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FAQs on GCF of Fractions of 5079/661, 9175/2138

1. What is the HCF of 5079,9175?

The HCF of 5079,9175 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 5079/661, 9175/2138?

Answer: GCF of Numerators as per given numbers 5079/661, 9175/2138 is

GCF of Numerators i.e. for 5079,9175 is 1

LCM of denominators i.e. for 661,2138 is 1413218.

Thus, GCF of Fractions is 1/1413218.Finally, GCF of Fractions for 5079/661, 9175/2138 is 1/1413218.