Greatest Common Factor of 430/56, 237/77, 693/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/56, 237/77, 693/902

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 430/56,237/77,693/902

Given fractions are 430/56,237/77,693/902

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 430,237,693

Greatest Common Factor of Numerators i.e. GCF of 430,237,693 is 1 .

LCM of Denominators means LCM of 56,77,902 as per the given fractions.

LCM of 56,77,902 is 25256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,237,693

GCF of Fractions 430/56,237/77,693/902 is 1/25256

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

Greatest Common Factor of 430,237,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,237,693 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 430,237,693 . The biggest common factor number is the GCF number.
So the greatest common factor 430,237,693 is 1.

Lets's calculate LCM of 56,77,902

2 56, 77, 902
7 28, 77, 451
11 4, 11, 451
4, 1, 41

∴ So the LCM of the given numbers is 2 x 7 x 11 x 4 x 1 x 41 = 25256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25256

Therefore, the GCF of Fractions 430/56,237/77,693/902 is 1/25256

Least Common Multiple of 56,77,902 with GCF Formula

Least Common Multiple of 56,77,902 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 56,77,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,77,902) = 1

common factors(in case of two or more numbers have common factors) = 154

GCF(56,77,902) x common factors =1 x 154 = 154

LCM(56,77,902) = ( 56 × 77 × 902 ) / 154

LCM(56,77,902) = 3889424 / 154

LCM(56,77,902) = 25256


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 430/56, 237/77, 693/902

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 430/56, 237/77, 693/902?

Answer: GCF of Numerators as per given numbers 430/56, 237/77, 693/902 is

GCF of Numerators i.e. for 430,237,693 is 1

LCM of denominators i.e. for 56,77,902 is 25256.

Thus, GCF of Fractions is 1/25256.Finally, GCF of Fractions for 430/56, 237/77, 693/902 is 1/25256.