Greatest Common Factor of 232/390, 745/622, 779/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 232/390, 745/622, 779/784

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 232/390,745/622,779/784

Given fractions are 232/390,745/622,779/784

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 232,745,779

Greatest Common Factor of Numerators i.e. GCF of 232,745,779 is 1 .

LCM of Denominators means LCM of 390,622,784 as per the given fractions.

LCM of 390,622,784 is 47545680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 232,745,779

GCF of Fractions 232/390,745/622,779/784 is 1/47545680

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

Greatest Common Factor of 232,745,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,745,779 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 232,745,779 . The biggest common factor number is the GCF number.
So the greatest common factor 232,745,779 is 1.

Lets's calculate LCM of 390,622,784

2 390, 622, 784
195, 311, 392

∴ So the LCM of the given numbers is 2 x 195 x 311 x 392 = 47545680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47545680

Therefore, the GCF of Fractions 232/390,745/622,779/784 is 1/47545680

Least Common Multiple of 390,622,784 with GCF Formula

Least Common Multiple of 390,622,784 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 390,622,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,622,784) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(390,622,784) x common factors =2 x 2 = 4

LCM(390,622,784) = ( 390 × 622 × 784 ) / 4

LCM(390,622,784) = 190182720 / 4

LCM(390,622,784) = 47545680


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 232/390, 745/622, 779/784

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 232/390, 745/622, 779/784?

Answer: GCF of Numerators as per given numbers 232/390, 745/622, 779/784 is

GCF of Numerators i.e. for 232,745,779 is 1

LCM of denominators i.e. for 390,622,784 is 47545680.

Thus, GCF of Fractions is 1/47545680.Finally, GCF of Fractions for 232/390, 745/622, 779/784 is 1/47545680.