Greatest Common Factor of 377/824, 136/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 377/824, 136/814

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 377/824,136/814

Given fractions are 377/824,136/814

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 377,136

Greatest Common Factor of Numerators i.e. GCF of 377,136 is 1 .

LCM of Denominators means LCM of 824,814 as per the given fractions.

LCM of 824,814 is 335368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 377,136

GCF of Fractions 377/824,136/814 is 1/335368

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

Greatest Common Factor of 377,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,136 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 377,136 . The biggest common factor number is the GCF number.
So the greatest common factor 377,136 is 1.

Lets's calculate LCM of 824,814

2 824, 814
412, 407

∴ So the LCM of the given numbers is 2 x 412 x 407 = 335368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335368

Therefore, the GCF of Fractions 377/824,136/814 is 1/335368

Least Common Multiple of 824,814 with GCF Formula

Least Common Multiple of 824,814 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 824,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,814) = 2

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

GCF(824,814) x common factors =2 x 1 = 2

LCM(824,814) = ( 824 × 814 ) / 2

LCM(824,814) = 670736 / 2

LCM(824,814) = 335368


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 377/824, 136/814

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 377/824, 136/814?

Answer: GCF of Numerators as per given numbers 377/824, 136/814 is

GCF of Numerators i.e. for 377,136 is 1

LCM of denominators i.e. for 824,814 is 335368.

Thus, GCF of Fractions is 1/335368.Finally, GCF of Fractions for 377/824, 136/814 is 1/335368.