Greatest Common Factor of 7625/645, 1668/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7625/645, 1668/206

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 7625/645,1668/206

Given fractions are 7625/645,1668/206

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 7625,1668

Greatest Common Factor of Numerators i.e. GCF of 7625,1668 is 1 .

LCM of Denominators means LCM of 645,206 as per the given fractions.

LCM of 645,206 is 132870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7625,1668

GCF of Fractions 7625/645,1668/206 is 1/132870

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

Greatest Common Factor of 7625,1668 By Matching Biggest Common Factor Method

Greatest Common Factor of 7625,1668 By Matching Biggest Common Factor Method

Factors of 7625

List of positive integer factors of 7625 that divides 7625 without a remainder.

1,5,25,61,125,305,1525,7625

Factors of 1668

List of positive integer factors of 1668 that divides 1668 without a remainder.

1,2,3,4,6,12,139,278,417,556,834,1668

Greatest Common Factor

We found the factors 7625,1668 . The biggest common factor number is the GCF number.
So the greatest common factor 7625,1668 is 1.

Lets's calculate LCM of 645,206

Given numbers has no common factors except 1. So, there LCM is their product i.e 132870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132870

Therefore, the GCF of Fractions 7625/645,1668/206 is 1/132870

Least Common Multiple of 645,206 with GCF Formula

Least Common Multiple of 645,206 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 645,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,206) = 1

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

GCF(645,206) x common factors =1 x 1 = 1

LCM(645,206) = ( 645 × 206 ) / 1

LCM(645,206) = 132870 / 1

LCM(645,206) = 132870


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 7625/645, 1668/206

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 7625/645, 1668/206?

Answer: GCF of Numerators as per given numbers 7625/645, 1668/206 is

GCF of Numerators i.e. for 7625,1668 is 1

LCM of denominators i.e. for 645,206 is 132870.

Thus, GCF of Fractions is 1/132870.Finally, GCF of Fractions for 7625/645, 1668/206 is 1/132870.