Greatest Common Factor of 7067/684, 2951/8456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7067/684, 2951/8456

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 7067/684,2951/8456

Given fractions are 7067/684,2951/8456

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 7067,2951

Greatest Common Factor of Numerators i.e. GCF of 7067,2951 is 1 .

LCM of Denominators means LCM of 684,8456 as per the given fractions.

LCM of 684,8456 is 1445976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7067,2951

GCF of Fractions 7067/684,2951/8456 is 1/1445976

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

Greatest Common Factor of 7067,2951 By Matching Biggest Common Factor Method

Greatest Common Factor of 7067,2951 By Matching Biggest Common Factor Method

Factors of 7067

List of positive integer factors of 7067 that divides 7067 without a remainder.

1,37,191,7067

Factors of 2951

List of positive integer factors of 2951 that divides 2951 without a remainder.

1,13,227,2951

Greatest Common Factor

We found the factors 7067,2951 . The biggest common factor number is the GCF number.
So the greatest common factor 7067,2951 is 1.

Lets's calculate LCM of 684,8456

2 684, 8456
2 342, 4228
171, 2114

∴ So the LCM of the given numbers is 2 x 2 x 171 x 2114 = 1445976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1445976

Therefore, the GCF of Fractions 7067/684,2951/8456 is 1/1445976

Least Common Multiple of 684,8456 with GCF Formula

Least Common Multiple of 684,8456 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 684,8456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,8456) = 4

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

GCF(684,8456) x common factors =4 x 1 = 4

LCM(684,8456) = ( 684 × 8456 ) / 4

LCM(684,8456) = 5783904 / 4

LCM(684,8456) = 1445976


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 7067/684, 2951/8456

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 7067/684, 2951/8456?

Answer: GCF of Numerators as per given numbers 7067/684, 2951/8456 is

GCF of Numerators i.e. for 7067,2951 is 1

LCM of denominators i.e. for 684,8456 is 1445976.

Thus, GCF of Fractions is 1/1445976.Finally, GCF of Fractions for 7067/684, 2951/8456 is 1/1445976.