Greatest Common Factor of 1865/556, 1200/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1865/556, 1200/502

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 1865/556,1200/502

Given fractions are 1865/556,1200/502

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 1865,1200

Greatest Common Factor of Numerators i.e. GCF of 1865,1200 is 5 .

LCM of Denominators means LCM of 556,502 as per the given fractions.

LCM of 556,502 is 139556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1865,1200

GCF of Fractions 1865/556,1200/502 is 5/139556

5 1865, 1200
373, 240

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1865,1200 By Matching Biggest Common Factor Method

Greatest Common Factor of 1865,1200 By Matching Biggest Common Factor Method

Factors of 1865

List of positive integer factors of 1865 that divides 1865 without a remainder.

1,5,373,1865

Factors of 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200

Greatest Common Factor

We found the factors 1865,1200 . The biggest common factor number is the GCF number.
So the greatest common factor 1865,1200 is 5.

Lets's calculate LCM of 556,502

2 556, 502
278, 251

∴ So the LCM of the given numbers is 2 x 278 x 251 = 139556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/139556

Therefore, the GCF of Fractions 1865/556,1200/502 is 5/139556

Least Common Multiple of 556,502 with GCF Formula

Least Common Multiple of 556,502 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 556,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,502) = 2

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

GCF(556,502) x common factors =2 x 1 = 2

LCM(556,502) = ( 556 × 502 ) / 2

LCM(556,502) = 279112 / 2

LCM(556,502) = 139556


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 1865/556, 1200/502

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 1865/556, 1200/502?

Answer: GCF of Numerators as per given numbers 1865/556, 1200/502 is

GCF of Numerators i.e. for 1865,1200 is 5

LCM of denominators i.e. for 556,502 is 139556.

Thus, GCF of Fractions is 5/139556.Finally, GCF of Fractions for 1865/556, 1200/502 is 5/139556.