Greatest Common Factor of 1720/83, 7411/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1720/83, 7411/372

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 1720/83,7411/372

Given fractions are 1720/83,7411/372

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 1720,7411

Greatest Common Factor of Numerators i.e. GCF of 1720,7411 is 1 .

LCM of Denominators means LCM of 83,372 as per the given fractions.

LCM of 83,372 is 30876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1720,7411

GCF of Fractions 1720/83,7411/372 is 1/30876

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

Greatest Common Factor of 1720,7411 By Matching Biggest Common Factor Method

Greatest Common Factor of 1720,7411 By Matching Biggest Common Factor Method

Factors of 1720

List of positive integer factors of 1720 that divides 1720 without a remainder.

1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720

Factors of 7411

List of positive integer factors of 7411 that divides 7411 without a remainder.

1,7411

Greatest Common Factor

We found the factors 1720,7411 . The biggest common factor number is the GCF number.
So the greatest common factor 1720,7411 is 1.

Lets's calculate LCM of 83,372

Given numbers has no common factors except 1. So, there LCM is their product i.e 30876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30876

Therefore, the GCF of Fractions 1720/83,7411/372 is 1/30876

Least Common Multiple of 83,372 with GCF Formula

Least Common Multiple of 83,372 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 83,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,372) = 1

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

GCF(83,372) x common factors =1 x 1 = 1

LCM(83,372) = ( 83 × 372 ) / 1

LCM(83,372) = 30876 / 1

LCM(83,372) = 30876


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 1720/83, 7411/372

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 1720/83, 7411/372?

Answer: GCF of Numerators as per given numbers 1720/83, 7411/372 is

GCF of Numerators i.e. for 1720,7411 is 1

LCM of denominators i.e. for 83,372 is 30876.

Thus, GCF of Fractions is 1/30876.Finally, GCF of Fractions for 1720/83, 7411/372 is 1/30876.