Greatest Common Factor of 708/20, 161/1583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/20, 161/1583

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 708/20,161/1583

Given fractions are 708/20,161/1583

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 708,161

Greatest Common Factor of Numerators i.e. GCF of 708,161 is 1 .

LCM of Denominators means LCM of 20,1583 as per the given fractions.

LCM of 20,1583 is 31660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,161

GCF of Fractions 708/20,161/1583 is 1/31660

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

Greatest Common Factor of 708,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,161 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 708,161 . The biggest common factor number is the GCF number.
So the greatest common factor 708,161 is 1.

Lets's calculate LCM of 20,1583

Given numbers has no common factors except 1. So, there LCM is their product i.e 31660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31660

Therefore, the GCF of Fractions 708/20,161/1583 is 1/31660

Least Common Multiple of 20,1583 with GCF Formula

Least Common Multiple of 20,1583 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 20,1583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,1583) = 1

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

GCF(20,1583) x common factors =1 x 1 = 1

LCM(20,1583) = ( 20 × 1583 ) / 1

LCM(20,1583) = 31660 / 1

LCM(20,1583) = 31660


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 708/20, 161/1583

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 708/20, 161/1583?

Answer: GCF of Numerators as per given numbers 708/20, 161/1583 is

GCF of Numerators i.e. for 708,161 is 1

LCM of denominators i.e. for 20,1583 is 31660.

Thus, GCF of Fractions is 1/31660.Finally, GCF of Fractions for 708/20, 161/1583 is 1/31660.