Greatest Common Factor of 1869/480, 3127/8142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1869/480, 3127/8142

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 1869/480,3127/8142

Given fractions are 1869/480,3127/8142

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 1869,3127

Greatest Common Factor of Numerators i.e. GCF of 1869,3127 is 1 .

LCM of Denominators means LCM of 480,8142 as per the given fractions.

LCM of 480,8142 is 651360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1869,3127

GCF of Fractions 1869/480,3127/8142 is 1/651360

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

Greatest Common Factor of 1869,3127 By Matching Biggest Common Factor Method

Greatest Common Factor of 1869,3127 By Matching Biggest Common Factor Method

Factors of 1869

List of positive integer factors of 1869 that divides 1869 without a remainder.

1,3,7,21,89,267,623,1869

Factors of 3127

List of positive integer factors of 3127 that divides 3127 without a remainder.

1,53,59,3127

Greatest Common Factor

We found the factors 1869,3127 . The biggest common factor number is the GCF number.
So the greatest common factor 1869,3127 is 1.

Lets's calculate LCM of 480,8142

2 480, 8142
3 240, 4071
80, 1357

∴ So the LCM of the given numbers is 2 x 3 x 80 x 1357 = 651360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/651360

Therefore, the GCF of Fractions 1869/480,3127/8142 is 1/651360

Least Common Multiple of 480,8142 with GCF Formula

Least Common Multiple of 480,8142 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 480,8142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,8142) = 6

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

GCF(480,8142) x common factors =6 x 1 = 6

LCM(480,8142) = ( 480 × 8142 ) / 6

LCM(480,8142) = 3908160 / 6

LCM(480,8142) = 651360


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 1869/480, 3127/8142

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 1869/480, 3127/8142?

Answer: GCF of Numerators as per given numbers 1869/480, 3127/8142 is

GCF of Numerators i.e. for 1869,3127 is 1

LCM of denominators i.e. for 480,8142 is 651360.

Thus, GCF of Fractions is 1/651360.Finally, GCF of Fractions for 1869/480, 3127/8142 is 1/651360.