How to Find GCF of 2986/853, 7629/3517?

GCF of 2986/853, 7629/3517

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 2986/853, 7629/3517 i.e 1/3000001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2986/853, 7629/3517.

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 2986/853,7629/3517?

Given fractions are 2986/853,7629/3517

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 2986/853,7629/3517, numerators are 2986,7629

Denominators are 853,3517

The GCF of 2986,7629 is 1 .

LCM of 853,3517 is 3000001.

The greatest common factor of 2986/853,7629/3517 = [GCF of 2986,7629]/[LCM of 853,3517]= 1/3000001

Therefore, the GCF of 2986/853,7629/3517 is 1/3000001.

Greatest Common Factor of 2986,7629

To find the highest common factor of 2986,7629, we have to find the factors of both numbers and list the highest common factor.

The factors of 2986 are 1, 2, 1493, 2986

The factors of 7629 are 1, 3, 2543, 7629

The HCF of 2986,7629 is 1.

Lets's calculate GCF of 2986,7629

Greatest Common Factor (GCF) of 2986,7629 By Common Division

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

Greatest Common Factor of 2986,7629 By Matching Biggest Common Factor Method

Now, list down the factors of 2986

1,2,1493,2986

Now, list down the factors of 7629

1,3,2543,7629

Greatest Common Factor

We found the factors 2986,7629 . The biggest common factor number is the GCF number.
So the greatest common factor 2986,7629 is 1.

Lets's calculate LCM of 853,3517

Lowest Common Multiple of 853,3517 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3000001

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3000001

Therefore, the GCF of Fractions 2986/853,7629/3517 is 1/3000001

Least Common Multiple of 853,3517 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 853,3517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(853,3517) = 1

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

GCF(853,3517) x common factors =1 x 1 = 1

LCM(853,3517) = ( 853 × 3517 ) / 1

LCM(853,3517) = 3000001 / 1

LCM(853,3517) = 3000001

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2986/853, 7629/3517

1. What is the HCF of 2986,7629?

The HCF of 2986,7629 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 2986/853, 7629/3517?

Answer: GCF of Numerators as per given numbers 2986/853, 7629/3517 is

GCF of Numerators i.e. for 2986,7629 is 1

LCM of denominators i.e. for 853,3517 is 3000001.

Thus, GCF of Fractions is 1/3000001.Finally, GCF of Fractions for 2986/853, 7629/3517 is 1/3000001.