Greatest Common Factor of 69/967, 745/579, 194/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/967, 745/579, 194/564

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 69/967,745/579,194/564

Given fractions are 69/967,745/579,194/564

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 69,745,194

Greatest Common Factor of Numerators i.e. GCF of 69,745,194 is 1 .

LCM of Denominators means LCM of 967,579,564 as per the given fractions.

LCM of 967,579,564 is 105259884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,745,194

GCF of Fractions 69/967,745/579,194/564 is 1/105259884

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

Greatest Common Factor of 69,745,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,745,194 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 745

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

1,5,149,745

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 69,745,194 . The biggest common factor number is the GCF number.
So the greatest common factor 69,745,194 is 1.

Lets's calculate LCM of 967,579,564

3 967, 579, 564
967, 193, 188

∴ So the LCM of the given numbers is 3 x 967 x 193 x 188 = 105259884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105259884

Therefore, the GCF of Fractions 69/967,745/579,194/564 is 1/105259884

Least Common Multiple of 967,579,564 with GCF Formula

Least Common Multiple of 967,579,564 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 967,579,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,579,564) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(967,579,564) x common factors =1 x 3 = 3

LCM(967,579,564) = ( 967 × 579 × 564 ) / 3

LCM(967,579,564) = 315779652 / 3

LCM(967,579,564) = 105259884


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 69/967, 745/579, 194/564

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 69/967, 745/579, 194/564?

Answer: GCF of Numerators as per given numbers 69/967, 745/579, 194/564 is

GCF of Numerators i.e. for 69,745,194 is 1

LCM of denominators i.e. for 967,579,564 is 105259884.

Thus, GCF of Fractions is 1/105259884.Finally, GCF of Fractions for 69/967, 745/579, 194/564 is 1/105259884.