Greatest Common Factor of 18/20, 41/42, 753/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/20, 41/42, 753/434

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 18/20,41/42,753/434

Given fractions are 18/20,41/42,753/434

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 18,41,753

Greatest Common Factor of Numerators i.e. GCF of 18,41,753 is 1 .

LCM of Denominators means LCM of 20,42,434 as per the given fractions.

LCM of 20,42,434 is 13020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,41,753

GCF of Fractions 18/20,41/42,753/434 is 1/13020

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

Greatest Common Factor of 18,41,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,41,753 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 18,41,753 . The biggest common factor number is the GCF number.
So the greatest common factor 18,41,753 is 1.

Lets's calculate LCM of 20,42,434

2 20, 42, 434
7 10, 21, 217
10, 3, 31

∴ So the LCM of the given numbers is 2 x 7 x 10 x 3 x 31 = 13020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13020

Therefore, the GCF of Fractions 18/20,41/42,753/434 is 1/13020

Least Common Multiple of 20,42,434 with GCF Formula

Least Common Multiple of 20,42,434 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 20,42,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,42,434) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(20,42,434) x common factors =2 x 14 = 28

LCM(20,42,434) = ( 20 × 42 × 434 ) / 28

LCM(20,42,434) = 364560 / 28

LCM(20,42,434) = 13020


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 18/20, 41/42, 753/434

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 18/20, 41/42, 753/434?

Answer: GCF of Numerators as per given numbers 18/20, 41/42, 753/434 is

GCF of Numerators i.e. for 18,41,753 is 1

LCM of denominators i.e. for 20,42,434 is 13020.

Thus, GCF of Fractions is 1/13020.Finally, GCF of Fractions for 18/20, 41/42, 753/434 is 1/13020.