Greatest Common Factor of 7774/645, 6975/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7774/645, 6975/214

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 7774/645,6975/214

Given fractions are 7774/645,6975/214

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 7774,6975

Greatest Common Factor of Numerators i.e. GCF of 7774,6975 is 1 .

LCM of Denominators means LCM of 645,214 as per the given fractions.

LCM of 645,214 is 138030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7774,6975

GCF of Fractions 7774/645,6975/214 is 1/138030

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

Greatest Common Factor of 7774,6975 By Matching Biggest Common Factor Method

Greatest Common Factor of 7774,6975 By Matching Biggest Common Factor Method

Factors of 7774

List of positive integer factors of 7774 that divides 7774 without a remainder.

1,2,13,23,26,46,169,299,338,598,3887,7774

Factors of 6975

List of positive integer factors of 6975 that divides 6975 without a remainder.

1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975

Greatest Common Factor

We found the factors 7774,6975 . The biggest common factor number is the GCF number.
So the greatest common factor 7774,6975 is 1.

Lets's calculate LCM of 645,214

Given numbers has no common factors except 1. So, there LCM is their product i.e 138030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138030

Therefore, the GCF of Fractions 7774/645,6975/214 is 1/138030

Least Common Multiple of 645,214 with GCF Formula

Least Common Multiple of 645,214 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 645,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,214) = 1

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

GCF(645,214) x common factors =1 x 1 = 1

LCM(645,214) = ( 645 × 214 ) / 1

LCM(645,214) = 138030 / 1

LCM(645,214) = 138030


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 7774/645, 6975/214

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 7774/645, 6975/214?

Answer: GCF of Numerators as per given numbers 7774/645, 6975/214 is

GCF of Numerators i.e. for 7774,6975 is 1

LCM of denominators i.e. for 645,214 is 138030.

Thus, GCF of Fractions is 1/138030.Finally, GCF of Fractions for 7774/645, 6975/214 is 1/138030.