Greatest Common Factor of 405/966, 425/435, 728/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/966, 425/435, 728/202

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 405/966,425/435,728/202

Given fractions are 405/966,425/435,728/202

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 405,425,728

Greatest Common Factor of Numerators i.e. GCF of 405,425,728 is 1 .

LCM of Denominators means LCM of 966,435,202 as per the given fractions.

LCM of 966,435,202 is 14147070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,425,728

GCF of Fractions 405/966,425/435,728/202 is 1/14147070

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

Greatest Common Factor of 405,425,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,425,728 By Matching Biggest Common Factor Method

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

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 405,425,728 . The biggest common factor number is the GCF number.
So the greatest common factor 405,425,728 is 1.

Lets's calculate LCM of 966,435,202

2 966, 435, 202
3 483, 435, 101
161, 145, 101

∴ So the LCM of the given numbers is 2 x 3 x 161 x 145 x 101 = 14147070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14147070

Therefore, the GCF of Fractions 405/966,425/435,728/202 is 1/14147070

Least Common Multiple of 966,435,202 with GCF Formula

Least Common Multiple of 966,435,202 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 966,435,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,435,202) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(966,435,202) x common factors =1 x 6 = 6

LCM(966,435,202) = ( 966 × 435 × 202 ) / 6

LCM(966,435,202) = 84882420 / 6

LCM(966,435,202) = 14147070


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 405/966, 425/435, 728/202

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 405/966, 425/435, 728/202?

Answer: GCF of Numerators as per given numbers 405/966, 425/435, 728/202 is

GCF of Numerators i.e. for 405,425,728 is 1

LCM of denominators i.e. for 966,435,202 is 14147070.

Thus, GCF of Fractions is 1/14147070.Finally, GCF of Fractions for 405/966, 425/435, 728/202 is 1/14147070.