Greatest Common Factor of 1843/868, 1167/9092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1843/868, 1167/9092

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 1843/868,1167/9092

Given fractions are 1843/868,1167/9092

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 1843,1167

Greatest Common Factor of Numerators i.e. GCF of 1843,1167 is 1 .

LCM of Denominators means LCM of 868,9092 as per the given fractions.

LCM of 868,9092 is 1972964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1843,1167

GCF of Fractions 1843/868,1167/9092 is 1/1972964

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

Greatest Common Factor of 1843,1167 By Matching Biggest Common Factor Method

Greatest Common Factor of 1843,1167 By Matching Biggest Common Factor Method

Factors of 1843

List of positive integer factors of 1843 that divides 1843 without a remainder.

1,19,97,1843

Factors of 1167

List of positive integer factors of 1167 that divides 1167 without a remainder.

1,3,389,1167

Greatest Common Factor

We found the factors 1843,1167 . The biggest common factor number is the GCF number.
So the greatest common factor 1843,1167 is 1.

Lets's calculate LCM of 868,9092

2 868, 9092
2 434, 4546
217, 2273

∴ So the LCM of the given numbers is 2 x 2 x 217 x 2273 = 1972964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1972964

Therefore, the GCF of Fractions 1843/868,1167/9092 is 1/1972964

Least Common Multiple of 868,9092 with GCF Formula

Least Common Multiple of 868,9092 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 868,9092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,9092) = 4

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

GCF(868,9092) x common factors =4 x 1 = 4

LCM(868,9092) = ( 868 × 9092 ) / 4

LCM(868,9092) = 7891856 / 4

LCM(868,9092) = 1972964


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 1843/868, 1167/9092

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 1843/868, 1167/9092?

Answer: GCF of Numerators as per given numbers 1843/868, 1167/9092 is

GCF of Numerators i.e. for 1843,1167 is 1

LCM of denominators i.e. for 868,9092 is 1972964.

Thus, GCF of Fractions is 1/1972964.Finally, GCF of Fractions for 1843/868, 1167/9092 is 1/1972964.