Greatest Common Factor of 11/147, 8690/2251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/147, 8690/2251

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 11/147,8690/2251

Given fractions are 11/147,8690/2251

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 11,8690

Greatest Common Factor of Numerators i.e. GCF of 11,8690 is 11 .

LCM of Denominators means LCM of 147,2251 as per the given fractions.

LCM of 147,2251 is 330897 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,8690

GCF of Fractions 11/147,8690/2251 is 11/330897

11 11, 8690
1, 790

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 11,8690 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,8690 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 8690

List of positive integer factors of 8690 that divides 8690 without a remainder.

1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690

Greatest Common Factor

We found the factors 11,8690 . The biggest common factor number is the GCF number.
So the greatest common factor 11,8690 is 11.

Lets's calculate LCM of 147,2251

Given numbers has no common factors except 1. So, there LCM is their product i.e 330897

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/330897

Therefore, the GCF of Fractions 11/147,8690/2251 is 11/330897

Least Common Multiple of 147,2251 with GCF Formula

Least Common Multiple of 147,2251 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 147,2251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,2251) = 1

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

GCF(147,2251) x common factors =1 x 1 = 1

LCM(147,2251) = ( 147 × 2251 ) / 1

LCM(147,2251) = 330897 / 1

LCM(147,2251) = 330897


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 11/147, 8690/2251

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 11/147, 8690/2251?

Answer: GCF of Numerators as per given numbers 11/147, 8690/2251 is

GCF of Numerators i.e. for 11,8690 is 11

LCM of denominators i.e. for 147,2251 is 330897.

Thus, GCF of Fractions is 11/330897.Finally, GCF of Fractions for 11/147, 8690/2251 is 11/330897.