Greatest Common Factor of 2020/380, 1860/1851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2020/380, 1860/1851

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 2020/380,1860/1851

Given fractions are 2020/380,1860/1851

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 2020,1860

Greatest Common Factor of Numerators i.e. GCF of 2020,1860 is 20 .

LCM of Denominators means LCM of 380,1851 as per the given fractions.

LCM of 380,1851 is 703380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2020,1860

GCF of Fractions 2020/380,1860/1851 is 20/703380

2 2020, 1860
2 1010, 930
5 505, 465
101, 93

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 2020,1860 By Matching Biggest Common Factor Method

Greatest Common Factor of 2020,1860 By Matching Biggest Common Factor Method

Factors of 2020

List of positive integer factors of 2020 that divides 2020 without a remainder.

1,2,4,5,10,20,101,202,404,505,1010,2020

Factors of 1860

List of positive integer factors of 1860 that divides 1860 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860

Greatest Common Factor

We found the factors 2020,1860 . The biggest common factor number is the GCF number.
So the greatest common factor 2020,1860 is 20.

Lets's calculate LCM of 380,1851

Given numbers has no common factors except 1. So, there LCM is their product i.e 703380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/703380

Therefore, the GCF of Fractions 2020/380,1860/1851 is 20/703380

Least Common Multiple of 380,1851 with GCF Formula

Least Common Multiple of 380,1851 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 380,1851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,1851) = 1

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

GCF(380,1851) x common factors =1 x 1 = 1

LCM(380,1851) = ( 380 × 1851 ) / 1

LCM(380,1851) = 703380 / 1

LCM(380,1851) = 703380


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 2020/380, 1860/1851

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 2020/380, 1860/1851?

Answer: GCF of Numerators as per given numbers 2020/380, 1860/1851 is

GCF of Numerators i.e. for 2020,1860 is 20

LCM of denominators i.e. for 380,1851 is 703380.

Thus, GCF of Fractions is 20/703380.Finally, GCF of Fractions for 2020/380, 1860/1851 is 20/703380.