Greatest Common Factor of 1880/567, 8340/4140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1880/567, 8340/4140

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 1880/567,8340/4140

Given fractions are 1880/567,8340/4140

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 1880,8340

Greatest Common Factor of Numerators i.e. GCF of 1880,8340 is 20 .

LCM of Denominators means LCM of 567,4140 as per the given fractions.

LCM of 567,4140 is 260820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1880,8340

GCF of Fractions 1880/567,8340/4140 is 20/260820

2 1880, 8340
2 940, 4170
5 470, 2085
94, 417

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

Greatest Common Factor of 1880,8340 By Matching Biggest Common Factor Method

Greatest Common Factor of 1880,8340 By Matching Biggest Common Factor Method

Factors of 1880

List of positive integer factors of 1880 that divides 1880 without a remainder.

1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880

Factors of 8340

List of positive integer factors of 8340 that divides 8340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340

Greatest Common Factor

We found the factors 1880,8340 . The biggest common factor number is the GCF number.
So the greatest common factor 1880,8340 is 20.

Lets's calculate LCM of 567,4140

3 567, 4140
3 189, 1380
63, 460

∴ So the LCM of the given numbers is 3 x 3 x 63 x 460 = 260820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/260820

Therefore, the GCF of Fractions 1880/567,8340/4140 is 20/260820

Least Common Multiple of 567,4140 with GCF Formula

Least Common Multiple of 567,4140 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 567,4140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,4140) = 9

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

GCF(567,4140) x common factors =9 x 1 = 9

LCM(567,4140) = ( 567 × 4140 ) / 9

LCM(567,4140) = 2347380 / 9

LCM(567,4140) = 260820


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 1880/567, 8340/4140

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 1880/567, 8340/4140?

Answer: GCF of Numerators as per given numbers 1880/567, 8340/4140 is

GCF of Numerators i.e. for 1880,8340 is 20

LCM of denominators i.e. for 567,4140 is 260820.

Thus, GCF of Fractions is 20/260820.Finally, GCF of Fractions for 1880/567, 8340/4140 is 20/260820.