Greatest Common Factor of 7645/54, 6415/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7645/54, 6415/894

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 7645/54,6415/894

Given fractions are 7645/54,6415/894

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 7645,6415

Greatest Common Factor of Numerators i.e. GCF of 7645,6415 is 5 .

LCM of Denominators means LCM of 54,894 as per the given fractions.

LCM of 54,894 is 8046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7645,6415

GCF of Fractions 7645/54,6415/894 is 5/8046

5 7645, 6415
1529, 1283

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7645,6415 By Matching Biggest Common Factor Method

Greatest Common Factor of 7645,6415 By Matching Biggest Common Factor Method

Factors of 7645

List of positive integer factors of 7645 that divides 7645 without a remainder.

1,5,11,55,139,695,1529,7645

Factors of 6415

List of positive integer factors of 6415 that divides 6415 without a remainder.

1,5,1283,6415

Greatest Common Factor

We found the factors 7645,6415 . The biggest common factor number is the GCF number.
So the greatest common factor 7645,6415 is 5.

Lets's calculate LCM of 54,894

2 54, 894
3 27, 447
9, 149

∴ So the LCM of the given numbers is 2 x 3 x 9 x 149 = 8046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8046

Therefore, the GCF of Fractions 7645/54,6415/894 is 5/8046

Least Common Multiple of 54,894 with GCF Formula

Least Common Multiple of 54,894 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 54,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,894) = 6

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

GCF(54,894) x common factors =6 x 1 = 6

LCM(54,894) = ( 54 × 894 ) / 6

LCM(54,894) = 48276 / 6

LCM(54,894) = 8046


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 7645/54, 6415/894

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 7645/54, 6415/894?

Answer: GCF of Numerators as per given numbers 7645/54, 6415/894 is

GCF of Numerators i.e. for 7645,6415 is 5

LCM of denominators i.e. for 54,894 is 8046.

Thus, GCF of Fractions is 5/8046.Finally, GCF of Fractions for 7645/54, 6415/894 is 5/8046.