Greatest Common Factor of 139/823, 314/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 139/823, 314/400

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 139/823,314/400

Given fractions are 139/823,314/400

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 139,314

Greatest Common Factor of Numerators i.e. GCF of 139,314 is 1 .

LCM of Denominators means LCM of 823,400 as per the given fractions.

LCM of 823,400 is 329200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 139,314

GCF of Fractions 139/823,314/400 is 1/329200

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

Greatest Common Factor of 139,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,314 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 139,314 . The biggest common factor number is the GCF number.
So the greatest common factor 139,314 is 1.

Lets's calculate LCM of 823,400

Given numbers has no common factors except 1. So, there LCM is their product i.e 329200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329200

Therefore, the GCF of Fractions 139/823,314/400 is 1/329200

Least Common Multiple of 823,400 with GCF Formula

Least Common Multiple of 823,400 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 823,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,400) = 1

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

GCF(823,400) x common factors =1 x 1 = 1

LCM(823,400) = ( 823 × 400 ) / 1

LCM(823,400) = 329200 / 1

LCM(823,400) = 329200


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 139/823, 314/400

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 139/823, 314/400?

Answer: GCF of Numerators as per given numbers 139/823, 314/400 is

GCF of Numerators i.e. for 139,314 is 1

LCM of denominators i.e. for 823,400 is 329200.

Thus, GCF of Fractions is 1/329200.Finally, GCF of Fractions for 139/823, 314/400 is 1/329200.