Greatest Common Factor of 1834/134, 8882/9954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1834/134, 8882/9954

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 1834/134,8882/9954

Given fractions are 1834/134,8882/9954

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 1834,8882

Greatest Common Factor of Numerators i.e. GCF of 1834,8882 is 2 .

LCM of Denominators means LCM of 134,9954 as per the given fractions.

LCM of 134,9954 is 666918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1834,8882

GCF of Fractions 1834/134,8882/9954 is 2/666918

2 1834, 8882
917, 4441

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1834,8882 By Matching Biggest Common Factor Method

Greatest Common Factor of 1834,8882 By Matching Biggest Common Factor Method

Factors of 1834

List of positive integer factors of 1834 that divides 1834 without a remainder.

1,2,7,14,131,262,917,1834

Factors of 8882

List of positive integer factors of 8882 that divides 8882 without a remainder.

1,2,4441,8882

Greatest Common Factor

We found the factors 1834,8882 . The biggest common factor number is the GCF number.
So the greatest common factor 1834,8882 is 2.

Lets's calculate LCM of 134,9954

2 134, 9954
67, 4977

∴ So the LCM of the given numbers is 2 x 67 x 4977 = 666918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/666918

Therefore, the GCF of Fractions 1834/134,8882/9954 is 2/666918

Least Common Multiple of 134,9954 with GCF Formula

Least Common Multiple of 134,9954 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 134,9954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,9954) = 2

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

GCF(134,9954) x common factors =2 x 1 = 2

LCM(134,9954) = ( 134 × 9954 ) / 2

LCM(134,9954) = 1333836 / 2

LCM(134,9954) = 666918


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 1834/134, 8882/9954

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 1834/134, 8882/9954?

Answer: GCF of Numerators as per given numbers 1834/134, 8882/9954 is

GCF of Numerators i.e. for 1834,8882 is 2

LCM of denominators i.e. for 134,9954 is 666918.

Thus, GCF of Fractions is 2/666918.Finally, GCF of Fractions for 1834/134, 8882/9954 is 2/666918.