Greatest Common Factor of 2512/901, 5186/7009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2512/901, 5186/7009

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2512/901,5186/7009

Given fractions are 2512/901,5186/7009

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2512,5186

Greatest Common Factor of Numerators i.e. GCF of 2512,5186 is 2 .

LCM of Denominators means LCM of 901,7009 as per the given fractions.

LCM of 901,7009 is 6315109 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2512,5186

GCF of Fractions 2512/901,5186/7009 is 2/6315109

2 2512, 5186
1256, 2593

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2512,5186 By Matching Biggest Common Factor Method

Greatest Common Factor of 2512,5186 By Matching Biggest Common Factor Method

Factors of 2512

List of positive integer factors of 2512 that divides 2512 without a remainder.

1,2,4,8,16,157,314,628,1256,2512

Factors of 5186

List of positive integer factors of 5186 that divides 5186 without a remainder.

1,2,2593,5186

Greatest Common Factor

We found the factors 2512,5186 . The biggest common factor number is the GCF number.
So the greatest common factor 2512,5186 is 2.

Lets's calculate LCM of 901,7009

Given numbers has no common factors except 1. So, there LCM is their product i.e 6315109

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6315109

Therefore, the GCF of Fractions 2512/901,5186/7009 is 2/6315109

Least Common Multiple of 901,7009 with GCF Formula

Least Common Multiple of 901,7009 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 901,7009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,7009) = 1

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

GCF(901,7009) x common factors =1 x 1 = 1

LCM(901,7009) = ( 901 × 7009 ) / 1

LCM(901,7009) = 6315109 / 1

LCM(901,7009) = 6315109


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2512/901, 5186/7009

1. 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.

2. What is the GCF of Fractions for 2512/901, 5186/7009?

Answer: GCF of Numerators as per given numbers 2512/901, 5186/7009 is

GCF of Numerators i.e. for 2512,5186 is 2

LCM of denominators i.e. for 901,7009 is 6315109.

Thus, GCF of Fractions is 2/6315109.Finally, GCF of Fractions for 2512/901, 5186/7009 is 2/6315109.