Greatest Common Factor of 7564/67, 9114/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7564/67, 9114/855

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 7564/67,9114/855

Given fractions are 7564/67,9114/855

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 7564,9114

Greatest Common Factor of Numerators i.e. GCF of 7564,9114 is 62 .

LCM of Denominators means LCM of 67,855 as per the given fractions.

LCM of 67,855 is 57285 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7564,9114

GCF of Fractions 7564/67,9114/855 is 62/57285

2 7564, 9114
31 3782, 4557
122, 147

∴ So the GCF of the given numbers is 2 x 31 = 62

Greatest Common Factor of 7564,9114 By Matching Biggest Common Factor Method

Greatest Common Factor of 7564,9114 By Matching Biggest Common Factor Method

Factors of 7564

List of positive integer factors of 7564 that divides 7564 without a remainder.

1,2,4,31,61,62,122,124,244,1891,3782,7564

Factors of 9114

List of positive integer factors of 9114 that divides 9114 without a remainder.

1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114

Greatest Common Factor

We found the factors 7564,9114 . The biggest common factor number is the GCF number.
So the greatest common factor 7564,9114 is 62.

Lets's calculate LCM of 67,855

Given numbers has no common factors except 1. So, there LCM is their product i.e 57285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/57285

Therefore, the GCF of Fractions 7564/67,9114/855 is 62/57285

Least Common Multiple of 67,855 with GCF Formula

Least Common Multiple of 67,855 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 67,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,855) = 1

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

GCF(67,855) x common factors =1 x 1 = 1

LCM(67,855) = ( 67 × 855 ) / 1

LCM(67,855) = 57285 / 1

LCM(67,855) = 57285


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 7564/67, 9114/855

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 7564/67, 9114/855?

Answer: GCF of Numerators as per given numbers 7564/67, 9114/855 is

GCF of Numerators i.e. for 7564,9114 is 62

LCM of denominators i.e. for 67,855 is 57285.

Thus, GCF of Fractions is 62/57285.Finally, GCF of Fractions for 7564/67, 9114/855 is 62/57285.