Greatest Common Factor of 1034/872, 1189/9506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1034/872, 1189/9506

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 1034/872,1189/9506

Given fractions are 1034/872,1189/9506

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 1034,1189

Greatest Common Factor of Numerators i.e. GCF of 1034,1189 is 1 .

LCM of Denominators means LCM of 872,9506 as per the given fractions.

LCM of 872,9506 is 4144616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1034,1189

GCF of Fractions 1034/872,1189/9506 is 1/4144616

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

Greatest Common Factor of 1034,1189 By Matching Biggest Common Factor Method

Greatest Common Factor of 1034,1189 By Matching Biggest Common Factor Method

Factors of 1034

List of positive integer factors of 1034 that divides 1034 without a remainder.

1,2,11,22,47,94,517,1034

Factors of 1189

List of positive integer factors of 1189 that divides 1189 without a remainder.

1,29,41,1189

Greatest Common Factor

We found the factors 1034,1189 . The biggest common factor number is the GCF number.
So the greatest common factor 1034,1189 is 1.

Lets's calculate LCM of 872,9506

2 872, 9506
436, 4753

∴ So the LCM of the given numbers is 2 x 436 x 4753 = 4144616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4144616

Therefore, the GCF of Fractions 1034/872,1189/9506 is 1/4144616

Least Common Multiple of 872,9506 with GCF Formula

Least Common Multiple of 872,9506 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 872,9506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,9506) = 2

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

GCF(872,9506) x common factors =2 x 1 = 2

LCM(872,9506) = ( 872 × 9506 ) / 2

LCM(872,9506) = 8289232 / 2

LCM(872,9506) = 4144616


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 1034/872, 1189/9506

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 1034/872, 1189/9506?

Answer: GCF of Numerators as per given numbers 1034/872, 1189/9506 is

GCF of Numerators i.e. for 1034,1189 is 1

LCM of denominators i.e. for 872,9506 is 4144616.

Thus, GCF of Fractions is 1/4144616.Finally, GCF of Fractions for 1034/872, 1189/9506 is 1/4144616.