Greatest Common Factor of 1887/738, 8556/1996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1887/738, 8556/1996

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 1887/738,8556/1996

Given fractions are 1887/738,8556/1996

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 1887,8556

Greatest Common Factor of Numerators i.e. GCF of 1887,8556 is 3 .

LCM of Denominators means LCM of 738,1996 as per the given fractions.

LCM of 738,1996 is 736524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1887,8556

GCF of Fractions 1887/738,8556/1996 is 3/736524

3 1887, 8556
629, 2852

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

Greatest Common Factor of 1887,8556 By Matching Biggest Common Factor Method

Greatest Common Factor of 1887,8556 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 8556

List of positive integer factors of 8556 that divides 8556 without a remainder.

1,2,3,4,6,12,23,31,46,62,69,92,93,124,138,186,276,372,713,1426,2139,2852,4278,8556

Greatest Common Factor

We found the factors 1887,8556 . The biggest common factor number is the GCF number.
So the greatest common factor 1887,8556 is 3.

Lets's calculate LCM of 738,1996

2 738, 1996
369, 998

∴ So the LCM of the given numbers is 2 x 369 x 998 = 736524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/736524

Therefore, the GCF of Fractions 1887/738,8556/1996 is 3/736524

Least Common Multiple of 738,1996 with GCF Formula

Least Common Multiple of 738,1996 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 738,1996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,1996) = 2

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

GCF(738,1996) x common factors =2 x 1 = 2

LCM(738,1996) = ( 738 × 1996 ) / 2

LCM(738,1996) = 1473048 / 2

LCM(738,1996) = 736524


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 1887/738, 8556/1996

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 1887/738, 8556/1996?

Answer: GCF of Numerators as per given numbers 1887/738, 8556/1996 is

GCF of Numerators i.e. for 1887,8556 is 3

LCM of denominators i.e. for 738,1996 is 736524.

Thus, GCF of Fractions is 3/736524.Finally, GCF of Fractions for 1887/738, 8556/1996 is 3/736524.