Greatest Common Factor of 862/419, 7723/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 862/419, 7723/380

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 862/419,7723/380

Given fractions are 862/419,7723/380

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 862,7723

Greatest Common Factor of Numerators i.e. GCF of 862,7723 is 1 .

LCM of Denominators means LCM of 419,380 as per the given fractions.

LCM of 419,380 is 159220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 862,7723

GCF of Fractions 862/419,7723/380 is 1/159220

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

Greatest Common Factor of 862,7723 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,7723 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 7723

List of positive integer factors of 7723 that divides 7723 without a remainder.

1,7723

Greatest Common Factor

We found the factors 862,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 862,7723 is 1.

Lets's calculate LCM of 419,380

Given numbers has no common factors except 1. So, there LCM is their product i.e 159220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159220

Therefore, the GCF of Fractions 862/419,7723/380 is 1/159220

Least Common Multiple of 419,380 with GCF Formula

Least Common Multiple of 419,380 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 419,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,380) = 1

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

GCF(419,380) x common factors =1 x 1 = 1

LCM(419,380) = ( 419 × 380 ) / 1

LCM(419,380) = 159220 / 1

LCM(419,380) = 159220


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 862/419, 7723/380

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 862/419, 7723/380?

Answer: GCF of Numerators as per given numbers 862/419, 7723/380 is

GCF of Numerators i.e. for 862,7723 is 1

LCM of denominators i.e. for 419,380 is 159220.

Thus, GCF of Fractions is 1/159220.Finally, GCF of Fractions for 862/419, 7723/380 is 1/159220.