Greatest Common Factor of 2020/42, 5529/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2020/42, 5529/342

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 2020/42,5529/342

Given fractions are 2020/42,5529/342

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 2020,5529

Greatest Common Factor of Numerators i.e. GCF of 2020,5529 is 1 .

LCM of Denominators means LCM of 42,342 as per the given fractions.

LCM of 42,342 is 2394 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2020,5529

GCF of Fractions 2020/42,5529/342 is 1/2394

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

Greatest Common Factor of 2020,5529 By Matching Biggest Common Factor Method

Greatest Common Factor of 2020,5529 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 5529

List of positive integer factors of 5529 that divides 5529 without a remainder.

1,3,19,57,97,291,1843,5529

Greatest Common Factor

We found the factors 2020,5529 . The biggest common factor number is the GCF number.
So the greatest common factor 2020,5529 is 1.

Lets's calculate LCM of 42,342

2 42, 342
3 21, 171
7, 57

∴ So the LCM of the given numbers is 2 x 3 x 7 x 57 = 2394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2394

Therefore, the GCF of Fractions 2020/42,5529/342 is 1/2394

Least Common Multiple of 42,342 with GCF Formula

Least Common Multiple of 42,342 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 42,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,342) = 6

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

GCF(42,342) x common factors =6 x 1 = 6

LCM(42,342) = ( 42 × 342 ) / 6

LCM(42,342) = 14364 / 6

LCM(42,342) = 2394


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 2020/42, 5529/342

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 2020/42, 5529/342?

Answer: GCF of Numerators as per given numbers 2020/42, 5529/342 is

GCF of Numerators i.e. for 2020,5529 is 1

LCM of denominators i.e. for 42,342 is 2394.

Thus, GCF of Fractions is 1/2394.Finally, GCF of Fractions for 2020/42, 5529/342 is 1/2394.