Greatest Common Factor of 161/25, 9730/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 161/25, 9730/879

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 161/25,9730/879

Given fractions are 161/25,9730/879

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 161,9730

Greatest Common Factor of Numerators i.e. GCF of 161,9730 is 7 .

LCM of Denominators means LCM of 25,879 as per the given fractions.

LCM of 25,879 is 21975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 161,9730

GCF of Fractions 161/25,9730/879 is 7/21975

7 161, 9730
23, 1390

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 161,9730 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,9730 By Matching Biggest Common Factor Method

Factors of 161

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

1,7,23,161

Factors of 9730

List of positive integer factors of 9730 that divides 9730 without a remainder.

1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730

Greatest Common Factor

We found the factors 161,9730 . The biggest common factor number is the GCF number.
So the greatest common factor 161,9730 is 7.

Lets's calculate LCM of 25,879

Given numbers has no common factors except 1. So, there LCM is their product i.e 21975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/21975

Therefore, the GCF of Fractions 161/25,9730/879 is 7/21975

Least Common Multiple of 25,879 with GCF Formula

Least Common Multiple of 25,879 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 25,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,879) = 1

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

GCF(25,879) x common factors =1 x 1 = 1

LCM(25,879) = ( 25 × 879 ) / 1

LCM(25,879) = 21975 / 1

LCM(25,879) = 21975


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 161/25, 9730/879

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 161/25, 9730/879?

Answer: GCF of Numerators as per given numbers 161/25, 9730/879 is

GCF of Numerators i.e. for 161,9730 is 7

LCM of denominators i.e. for 25,879 is 21975.

Thus, GCF of Fractions is 7/21975.Finally, GCF of Fractions for 161/25, 9730/879 is 7/21975.