Greatest Common Factor of 704/400, 1177/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/400, 1177/919

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 704/400,1177/919

Given fractions are 704/400,1177/919

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 704,1177

Greatest Common Factor of Numerators i.e. GCF of 704,1177 is 11 .

LCM of Denominators means LCM of 400,919 as per the given fractions.

LCM of 400,919 is 367600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,1177

GCF of Fractions 704/400,1177/919 is 11/367600

11 704, 1177
64, 107

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 704,1177 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,1177 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 1177

List of positive integer factors of 1177 that divides 1177 without a remainder.

1,11,107,1177

Greatest Common Factor

We found the factors 704,1177 . The biggest common factor number is the GCF number.
So the greatest common factor 704,1177 is 11.

Lets's calculate LCM of 400,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 367600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/367600

Therefore, the GCF of Fractions 704/400,1177/919 is 11/367600

Least Common Multiple of 400,919 with GCF Formula

Least Common Multiple of 400,919 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 400,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,919) = 1

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

GCF(400,919) x common factors =1 x 1 = 1

LCM(400,919) = ( 400 × 919 ) / 1

LCM(400,919) = 367600 / 1

LCM(400,919) = 367600


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 704/400, 1177/919

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 704/400, 1177/919?

Answer: GCF of Numerators as per given numbers 704/400, 1177/919 is

GCF of Numerators i.e. for 704,1177 is 11

LCM of denominators i.e. for 400,919 is 367600.

Thus, GCF of Fractions is 11/367600.Finally, GCF of Fractions for 704/400, 1177/919 is 11/367600.