Greatest Common Factor of 9171/140, 8383/1948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9171/140, 8383/1948

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 9171/140,8383/1948

Given fractions are 9171/140,8383/1948

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 9171,8383

Greatest Common Factor of Numerators i.e. GCF of 9171,8383 is 1 .

LCM of Denominators means LCM of 140,1948 as per the given fractions.

LCM of 140,1948 is 68180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9171,8383

GCF of Fractions 9171/140,8383/1948 is 1/68180

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

Greatest Common Factor of 9171,8383 By Matching Biggest Common Factor Method

Greatest Common Factor of 9171,8383 By Matching Biggest Common Factor Method

Factors of 9171

List of positive integer factors of 9171 that divides 9171 without a remainder.

1,3,9,1019,3057,9171

Factors of 8383

List of positive integer factors of 8383 that divides 8383 without a remainder.

1,83,101,8383

Greatest Common Factor

We found the factors 9171,8383 . The biggest common factor number is the GCF number.
So the greatest common factor 9171,8383 is 1.

Lets's calculate LCM of 140,1948

2 140, 1948
2 70, 974
35, 487

∴ So the LCM of the given numbers is 2 x 2 x 35 x 487 = 68180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68180

Therefore, the GCF of Fractions 9171/140,8383/1948 is 1/68180

Least Common Multiple of 140,1948 with GCF Formula

Least Common Multiple of 140,1948 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 140,1948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,1948) = 4

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

GCF(140,1948) x common factors =4 x 1 = 4

LCM(140,1948) = ( 140 × 1948 ) / 4

LCM(140,1948) = 272720 / 4

LCM(140,1948) = 68180


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 9171/140, 8383/1948

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 9171/140, 8383/1948?

Answer: GCF of Numerators as per given numbers 9171/140, 8383/1948 is

GCF of Numerators i.e. for 9171,8383 is 1

LCM of denominators i.e. for 140,1948 is 68180.

Thus, GCF of Fractions is 1/68180.Finally, GCF of Fractions for 9171/140, 8383/1948 is 1/68180.