Greatest Common Factor of 7668/14, 3110/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7668/14, 3110/545

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 7668/14,3110/545

Given fractions are 7668/14,3110/545

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 7668,3110

Greatest Common Factor of Numerators i.e. GCF of 7668,3110 is 2 .

LCM of Denominators means LCM of 14,545 as per the given fractions.

LCM of 14,545 is 7630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7668,3110

GCF of Fractions 7668/14,3110/545 is 2/7630

2 7668, 3110
3834, 1555

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

Greatest Common Factor of 7668,3110 By Matching Biggest Common Factor Method

Greatest Common Factor of 7668,3110 By Matching Biggest Common Factor Method

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668

Factors of 3110

List of positive integer factors of 3110 that divides 3110 without a remainder.

1,2,5,10,311,622,1555,3110

Greatest Common Factor

We found the factors 7668,3110 . The biggest common factor number is the GCF number.
So the greatest common factor 7668,3110 is 2.

Lets's calculate LCM of 14,545

Given numbers has no common factors except 1. So, there LCM is their product i.e 7630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7630

Therefore, the GCF of Fractions 7668/14,3110/545 is 2/7630

Least Common Multiple of 14,545 with GCF Formula

Least Common Multiple of 14,545 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 14,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,545) = 1

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

GCF(14,545) x common factors =1 x 1 = 1

LCM(14,545) = ( 14 × 545 ) / 1

LCM(14,545) = 7630 / 1

LCM(14,545) = 7630


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 7668/14, 3110/545

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 7668/14, 3110/545?

Answer: GCF of Numerators as per given numbers 7668/14, 3110/545 is

GCF of Numerators i.e. for 7668,3110 is 2

LCM of denominators i.e. for 14,545 is 7630.

Thus, GCF of Fractions is 2/7630.Finally, GCF of Fractions for 7668/14, 3110/545 is 2/7630.