Greatest Common Factor of 418/735, 6175/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 418/735, 6175/555

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 418/735,6175/555

Given fractions are 418/735,6175/555

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 418,6175

Greatest Common Factor of Numerators i.e. GCF of 418,6175 is 19 .

LCM of Denominators means LCM of 735,555 as per the given fractions.

LCM of 735,555 is 27195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 418,6175

GCF of Fractions 418/735,6175/555 is 19/27195

19 418, 6175
22, 325

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 418,6175 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,6175 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 6175

List of positive integer factors of 6175 that divides 6175 without a remainder.

1,5,13,19,25,65,95,247,325,475,1235,6175

Greatest Common Factor

We found the factors 418,6175 . The biggest common factor number is the GCF number.
So the greatest common factor 418,6175 is 19.

Lets's calculate LCM of 735,555

3 735, 555
5 245, 185
49, 37

∴ So the LCM of the given numbers is 3 x 5 x 49 x 37 = 27195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/27195

Therefore, the GCF of Fractions 418/735,6175/555 is 19/27195

Least Common Multiple of 735,555 with GCF Formula

Least Common Multiple of 735,555 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 735,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,555) = 15

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

GCF(735,555) x common factors =15 x 1 = 15

LCM(735,555) = ( 735 × 555 ) / 15

LCM(735,555) = 407925 / 15

LCM(735,555) = 27195


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 418/735, 6175/555

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 418/735, 6175/555?

Answer: GCF of Numerators as per given numbers 418/735, 6175/555 is

GCF of Numerators i.e. for 418,6175 is 19

LCM of denominators i.e. for 735,555 is 27195.

Thus, GCF of Fractions is 19/27195.Finally, GCF of Fractions for 418/735, 6175/555 is 19/27195.