Greatest Common Factor of 735/413, 506/200, 405/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 735/413, 506/200, 405/976

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 735/413,506/200,405/976

Given fractions are 735/413,506/200,405/976

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 735,506,405

Greatest Common Factor of Numerators i.e. GCF of 735,506,405 is 1 .

LCM of Denominators means LCM of 413,200,976 as per the given fractions.

LCM of 413,200,976 is 10077200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 735,506,405

GCF of Fractions 735/413,506/200,405/976 is 1/10077200

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

Greatest Common Factor of 735,506,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,506,405 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 735,506,405 . The biggest common factor number is the GCF number.
So the greatest common factor 735,506,405 is 1.

Lets's calculate LCM of 413,200,976

2 413, 200, 976
2 413, 100, 488
2 413, 50, 244
413, 25, 122

∴ So the LCM of the given numbers is 2 x 2 x 2 x 413 x 25 x 122 = 10077200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10077200

Therefore, the GCF of Fractions 735/413,506/200,405/976 is 1/10077200

Least Common Multiple of 413,200,976 with GCF Formula

Least Common Multiple of 413,200,976 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 413,200,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,200,976) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(413,200,976) x common factors =1 x 8 = 8

LCM(413,200,976) = ( 413 × 200 × 976 ) / 8

LCM(413,200,976) = 80617600 / 8

LCM(413,200,976) = 10077200


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 735/413, 506/200, 405/976

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 735/413, 506/200, 405/976?

Answer: GCF of Numerators as per given numbers 735/413, 506/200, 405/976 is

GCF of Numerators i.e. for 735,506,405 is 1

LCM of denominators i.e. for 413,200,976 is 10077200.

Thus, GCF of Fractions is 1/10077200.Finally, GCF of Fractions for 735/413, 506/200, 405/976 is 1/10077200.