Greatest Common Factor of 7678/450, 7803/7500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7678/450, 7803/7500

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 7678/450,7803/7500

Given fractions are 7678/450,7803/7500

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 7678,7803

Greatest Common Factor of Numerators i.e. GCF of 7678,7803 is 1 .

LCM of Denominators means LCM of 450,7500 as per the given fractions.

LCM of 450,7500 is 22500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7678,7803

GCF of Fractions 7678/450,7803/7500 is 1/22500

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

Greatest Common Factor of 7678,7803 By Matching Biggest Common Factor Method

Greatest Common Factor of 7678,7803 By Matching Biggest Common Factor Method

Factors of 7678

List of positive integer factors of 7678 that divides 7678 without a remainder.

1,2,11,22,349,698,3839,7678

Factors of 7803

List of positive integer factors of 7803 that divides 7803 without a remainder.

1,3,9,17,27,51,153,289,459,867,2601,7803

Greatest Common Factor

We found the factors 7678,7803 . The biggest common factor number is the GCF number.
So the greatest common factor 7678,7803 is 1.

Lets's calculate LCM of 450,7500

2 450, 7500
3 225, 3750
5 75, 1250
5 15, 250
3, 50

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 3 x 50 = 22500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22500

Therefore, the GCF of Fractions 7678/450,7803/7500 is 1/22500

Least Common Multiple of 450,7500 with GCF Formula

Least Common Multiple of 450,7500 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 450,7500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,7500) = 150

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

GCF(450,7500) x common factors =150 x 1 = 150

LCM(450,7500) = ( 450 × 7500 ) / 150

LCM(450,7500) = 3375000 / 150

LCM(450,7500) = 22500


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 7678/450, 7803/7500

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 7678/450, 7803/7500?

Answer: GCF of Numerators as per given numbers 7678/450, 7803/7500 is

GCF of Numerators i.e. for 7678,7803 is 1

LCM of denominators i.e. for 450,7500 is 22500.

Thus, GCF of Fractions is 1/22500.Finally, GCF of Fractions for 7678/450, 7803/7500 is 1/22500.