How to Find GCF of 6740/375, 8637/1109?

GCF of 6740/375, 8637/1109

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 6740/375, 8637/1109 i.e 1/415875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6740/375, 8637/1109.

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 6740/375,8637/1109?

Given fractions are 6740/375,8637/1109

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 6740/375,8637/1109, numerators are 6740,8637

Denominators are 375,1109

The GCF of 6740,8637 is 1 .

LCM of 375,1109 is 415875.

The greatest common factor of 6740/375,8637/1109 = [GCF of 6740,8637]/[LCM of 375,1109]= 1/415875

Therefore, the GCF of 6740/375,8637/1109 is 1/415875.

Greatest Common Factor of 6740,8637

To find the highest common factor of 6740,8637, we have to find the factors of both numbers and list the highest common factor.

The factors of 6740 are 1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740

The factors of 8637 are 1, 3, 2879, 8637

The HCF of 6740,8637 is 1.

Lets's calculate GCF of 6740,8637

Greatest Common Factor (GCF) of 6740,8637 By Common Division

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

Greatest Common Factor of 6740,8637 By Matching Biggest Common Factor Method

Now, list down the factors of 6740

1,2,4,5,10,20,337,674,1348,1685,3370,6740

Now, list down the factors of 8637

1,3,2879,8637

Greatest Common Factor

We found the factors 6740,8637 . The biggest common factor number is the GCF number.
So the greatest common factor 6740,8637 is 1.

Lets's calculate LCM of 375,1109

Lowest Common Multiple of 375,1109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 415875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/415875

Therefore, the GCF of Fractions 6740/375,8637/1109 is 1/415875

Least Common Multiple of 375,1109 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 375,1109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,1109) = 1

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

GCF(375,1109) x common factors =1 x 1 = 1

LCM(375,1109) = ( 375 × 1109 ) / 1

LCM(375,1109) = 415875 / 1

LCM(375,1109) = 415875

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6740/375, 8637/1109

1. What is the HCF of 6740,8637?

The HCF of 6740,8637 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 6740/375, 8637/1109?

Answer: GCF of Numerators as per given numbers 6740/375, 8637/1109 is

GCF of Numerators i.e. for 6740,8637 is 1

LCM of denominators i.e. for 375,1109 is 415875.

Thus, GCF of Fractions is 1/415875.Finally, GCF of Fractions for 6740/375, 8637/1109 is 1/415875.