Greatest Common Factor of 75/45, 989/42, 869/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 75/45, 989/42, 869/341

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 75/45,989/42,869/341

Given fractions are 75/45,989/42,869/341

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 75,989,869

Greatest Common Factor of Numerators i.e. GCF of 75,989,869 is 1 .

LCM of Denominators means LCM of 45,42,341 as per the given fractions.

LCM of 45,42,341 is 214830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,989,869

GCF of Fractions 75/45,989/42,869/341 is 1/214830

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

Greatest Common Factor of 75,989,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,989,869 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 75,989,869 . The biggest common factor number is the GCF number.
So the greatest common factor 75,989,869 is 1.


Lets's calculate LCM of 45,42,341

3 45, 42, 341
15, 14, 341

∴ So the LCM of the given numbers is 3 x 15 x 14 x 341 = 214830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214830

Therefore, the GCF of Fractions 75/45,989/42,869/341 is 1/214830

Least Common Multiple of 45,42,341 with GCF Formula

Least Common Multiple of 45,42,341 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 45,42,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,42,341) = 1

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

GCF(45,42,341) x common factors =1 x 3 = 3

LCM(45,42,341) = ( 45 × 42 × 341 ) / 3

LCM(45,42,341) = 644490 / 3

LCM(45,42,341) = 214830


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 75/45, 989/42, 869/341

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 75/45, 989/42, 869/341?

Answer: GCF of Numerators as per given numbers 75/45, 989/42, 869/341 is

GCF of Numerators i.e. for 75,989,869 is 1

LCM of denominators i.e. for 45,42,341 is 214830.

Thus, GCF of Fractions is 1/214830.Finally, GCF of Fractions for 75/45, 989/42, 869/341 is 1/214830.