Greatest Common Factor of 69/880, 1875/5942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/880, 1875/5942

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 69/880,1875/5942

Given fractions are 69/880,1875/5942

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 69,1875

Greatest Common Factor of Numerators i.e. GCF of 69,1875 is 3 .

LCM of Denominators means LCM of 880,5942 as per the given fractions.

LCM of 880,5942 is 2614480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,1875

GCF of Fractions 69/880,1875/5942 is 3/2614480

3 69, 1875
23, 625

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 69,1875 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,1875 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 1875

List of positive integer factors of 1875 that divides 1875 without a remainder.

1,3,5,15,25,75,125,375,625,1875

Greatest Common Factor

We found the factors 69,1875 . The biggest common factor number is the GCF number.
So the greatest common factor 69,1875 is 3.

Lets's calculate LCM of 880,5942

2 880, 5942
440, 2971

∴ So the LCM of the given numbers is 2 x 440 x 2971 = 2614480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2614480

Therefore, the GCF of Fractions 69/880,1875/5942 is 3/2614480

Least Common Multiple of 880,5942 with GCF Formula

Least Common Multiple of 880,5942 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 880,5942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,5942) = 2

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

GCF(880,5942) x common factors =2 x 1 = 2

LCM(880,5942) = ( 880 × 5942 ) / 2

LCM(880,5942) = 5228960 / 2

LCM(880,5942) = 2614480


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 69/880, 1875/5942

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 69/880, 1875/5942?

Answer: GCF of Numerators as per given numbers 69/880, 1875/5942 is

GCF of Numerators i.e. for 69,1875 is 3

LCM of denominators i.e. for 880,5942 is 2614480.

Thus, GCF of Fractions is 3/2614480.Finally, GCF of Fractions for 69/880, 1875/5942 is 3/2614480.