How to Find GCF of 7631/653, 1014/8066?

GCF of 7631/653, 1014/8066

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 7631/653, 1014/8066 i.e 13/5267098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7631/653, 1014/8066.

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 7631/653,1014/8066?

Given fractions are 7631/653,1014/8066

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 7631/653,1014/8066, numerators are 7631,1014

Denominators are 653,8066

The GCF of 7631,1014 is 13 .

LCM of 653,8066 is 5267098.

The greatest common factor of 7631/653,1014/8066 = [GCF of 7631,1014]/[LCM of 653,8066]= 13/5267098

Therefore, the GCF of 7631/653,1014/8066 is 13/5267098.

Greatest Common Factor of 7631,1014

To find the highest common factor of 7631,1014, we have to find the factors of both numbers and list the highest common factor.

The factors of 7631 are 1, 13, 587, 7631

The factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014

The HCF of 7631,1014 is 13.

Lets's calculate GCF of 7631,1014

Greatest Common Factor (GCF) of 7631,1014 By Common Division

13	7631, 1014
	587, 78

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7631,1014 By Matching Biggest Common Factor Method

Now, list down the factors of 7631

1,13,587,7631

Now, list down the factors of 1014

1,2,3,6,13,26,39,78,169,338,507,1014

Greatest Common Factor

We found the factors 7631,1014 . The biggest common factor number is the GCF number.
So the greatest common factor 7631,1014 is 13.

Lets's calculate LCM of 653,8066

Lowest Common Multiple of 653,8066 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5267098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5267098

Therefore, the GCF of Fractions 7631/653,1014/8066 is 13/5267098

Least Common Multiple of 653,8066 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 653,8066 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,8066) = 1

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

GCF(653,8066) x common factors =1 x 1 = 1

LCM(653,8066) = ( 653 × 8066 ) / 1

LCM(653,8066) = 5267098 / 1

LCM(653,8066) = 5267098

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FAQs on GCF of Fractions of 7631/653, 1014/8066

1. What is the HCF of 7631,1014?

The HCF of 7631,1014 is 13

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 7631/653, 1014/8066?

Answer: GCF of Numerators as per given numbers 7631/653, 1014/8066 is

GCF of Numerators i.e. for 7631,1014 is 13

LCM of denominators i.e. for 653,8066 is 5267098.

Thus, GCF of Fractions is 13/5267098.Finally, GCF of Fractions for 7631/653, 1014/8066 is 13/5267098.