Greatest Common Factor of 742/59, 811/29, 120/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/59, 811/29, 120/305

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 742/59,811/29,120/305

Given fractions are 742/59,811/29,120/305

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 742,811,120

Greatest Common Factor of Numerators i.e. GCF of 742,811,120 is 1 .

LCM of Denominators means LCM of 59,29,305 as per the given fractions.

LCM of 59,29,305 is 521855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,811,120

GCF of Fractions 742/59,811/29,120/305 is 1/521855

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

Greatest Common Factor of 742,811,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,811,120 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 742,811,120 . The biggest common factor number is the GCF number.
So the greatest common factor 742,811,120 is 1.

Lets's calculate LCM of 59,29,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 521855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521855

Therefore, the GCF of Fractions 742/59,811/29,120/305 is 1/521855

Least Common Multiple of 59,29,305 with GCF Formula

Least Common Multiple of 59,29,305 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 59,29,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,29,305) = 1

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

GCF(59,29,305) x common factors =1 x 1 = 1

LCM(59,29,305) = ( 59 × 29 × 305 ) / 1

LCM(59,29,305) = 521855 / 1

LCM(59,29,305) = 521855


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 742/59, 811/29, 120/305

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 742/59, 811/29, 120/305?

Answer: GCF of Numerators as per given numbers 742/59, 811/29, 120/305 is

GCF of Numerators i.e. for 742,811,120 is 1

LCM of denominators i.e. for 59,29,305 is 521855.

Thus, GCF of Fractions is 1/521855.Finally, GCF of Fractions for 742/59, 811/29, 120/305 is 1/521855.