Greatest Common Factor of 1887/812, 5413/7102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1887/812, 5413/7102

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 1887/812,5413/7102

Given fractions are 1887/812,5413/7102

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 1887,5413

Greatest Common Factor of Numerators i.e. GCF of 1887,5413 is 1 .

LCM of Denominators means LCM of 812,7102 as per the given fractions.

LCM of 812,7102 is 2883412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1887,5413

GCF of Fractions 1887/812,5413/7102 is 1/2883412

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

Greatest Common Factor of 1887,5413 By Matching Biggest Common Factor Method

Greatest Common Factor of 1887,5413 By Matching Biggest Common Factor Method

Factors of 1887

List of positive integer factors of 1887 that divides 1887 without a remainder.

1,3,17,37,51,111,629,1887

Factors of 5413

List of positive integer factors of 5413 that divides 5413 without a remainder.

1,5413

Greatest Common Factor

We found the factors 1887,5413 . The biggest common factor number is the GCF number.
So the greatest common factor 1887,5413 is 1.

Lets's calculate LCM of 812,7102

2 812, 7102
406, 3551

∴ So the LCM of the given numbers is 2 x 406 x 3551 = 2883412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2883412

Therefore, the GCF of Fractions 1887/812,5413/7102 is 1/2883412

Least Common Multiple of 812,7102 with GCF Formula

Least Common Multiple of 812,7102 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 812,7102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,7102) = 2

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

GCF(812,7102) x common factors =2 x 1 = 2

LCM(812,7102) = ( 812 × 7102 ) / 2

LCM(812,7102) = 5766824 / 2

LCM(812,7102) = 2883412


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 1887/812, 5413/7102

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 1887/812, 5413/7102?

Answer: GCF of Numerators as per given numbers 1887/812, 5413/7102 is

GCF of Numerators i.e. for 1887,5413 is 1

LCM of denominators i.e. for 812,7102 is 2883412.

Thus, GCF of Fractions is 1/2883412.Finally, GCF of Fractions for 1887/812, 5413/7102 is 1/2883412.