Greatest Common Factor of 862/421, 936/306, 405/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 862/421, 936/306, 405/351

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 862/421,936/306,405/351

Given fractions are 862/421,936/306,405/351

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 862,936,405

Greatest Common Factor of Numerators i.e. GCF of 862,936,405 is 1 .

LCM of Denominators means LCM of 421,306,351 as per the given fractions.

LCM of 421,306,351 is 5024214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 862,936,405

GCF of Fractions 862/421,936/306,405/351 is 1/5024214

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

Greatest Common Factor of 862,936,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,936,405 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

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 862,936,405 . The biggest common factor number is the GCF number.
So the greatest common factor 862,936,405 is 1.

Lets's calculate LCM of 421,306,351

3 421, 306, 351
3 421, 102, 117
421, 34, 39

∴ So the LCM of the given numbers is 3 x 3 x 421 x 34 x 39 = 5024214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5024214

Therefore, the GCF of Fractions 862/421,936/306,405/351 is 1/5024214

Least Common Multiple of 421,306,351 with GCF Formula

Least Common Multiple of 421,306,351 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 421,306,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,306,351) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(421,306,351) x common factors =1 x 9 = 9

LCM(421,306,351) = ( 421 × 306 × 351 ) / 9

LCM(421,306,351) = 45217926 / 9

LCM(421,306,351) = 5024214


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 862/421, 936/306, 405/351

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 862/421, 936/306, 405/351?

Answer: GCF of Numerators as per given numbers 862/421, 936/306, 405/351 is

GCF of Numerators i.e. for 862,936,405 is 1

LCM of denominators i.e. for 421,306,351 is 5024214.

Thus, GCF of Fractions is 1/5024214.Finally, GCF of Fractions for 862/421, 936/306, 405/351 is 1/5024214.