Greatest Common Factor of 7701/358, 3639/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7701/358, 3639/206

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 7701/358,3639/206

Given fractions are 7701/358,3639/206

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 7701,3639

Greatest Common Factor of Numerators i.e. GCF of 7701,3639 is 3 .

LCM of Denominators means LCM of 358,206 as per the given fractions.

LCM of 358,206 is 36874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7701,3639

GCF of Fractions 7701/358,3639/206 is 3/36874

3 7701, 3639
2567, 1213

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7701,3639 By Matching Biggest Common Factor Method

Greatest Common Factor of 7701,3639 By Matching Biggest Common Factor Method

Factors of 7701

List of positive integer factors of 7701 that divides 7701 without a remainder.

1,3,17,51,151,453,2567,7701

Factors of 3639

List of positive integer factors of 3639 that divides 3639 without a remainder.

1,3,1213,3639

Greatest Common Factor

We found the factors 7701,3639 . The biggest common factor number is the GCF number.
So the greatest common factor 7701,3639 is 3.

Lets's calculate LCM of 358,206

2 358, 206
179, 103

∴ So the LCM of the given numbers is 2 x 179 x 103 = 36874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36874

Therefore, the GCF of Fractions 7701/358,3639/206 is 3/36874

Least Common Multiple of 358,206 with GCF Formula

Least Common Multiple of 358,206 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 358,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,206) = 2

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

GCF(358,206) x common factors =2 x 1 = 2

LCM(358,206) = ( 358 × 206 ) / 2

LCM(358,206) = 73748 / 2

LCM(358,206) = 36874


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 7701/358, 3639/206

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 7701/358, 3639/206?

Answer: GCF of Numerators as per given numbers 7701/358, 3639/206 is

GCF of Numerators i.e. for 7701,3639 is 3

LCM of denominators i.e. for 358,206 is 36874.

Thus, GCF of Fractions is 3/36874.Finally, GCF of Fractions for 7701/358, 3639/206 is 3/36874.