Greatest Common Factor of 1200/29, 2958/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1200/29, 2958/894

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 1200/29,2958/894

Given fractions are 1200/29,2958/894

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 1200,2958

Greatest Common Factor of Numerators i.e. GCF of 1200,2958 is 6 .

LCM of Denominators means LCM of 29,894 as per the given fractions.

LCM of 29,894 is 25926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1200,2958

GCF of Fractions 1200/29,2958/894 is 6/25926

2 1200, 2958
3 600, 1479
200, 493

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1200,2958 By Matching Biggest Common Factor Method

Greatest Common Factor of 1200,2958 By Matching Biggest Common Factor Method

Factors of 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200

Factors of 2958

List of positive integer factors of 2958 that divides 2958 without a remainder.

1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958

Greatest Common Factor

We found the factors 1200,2958 . The biggest common factor number is the GCF number.
So the greatest common factor 1200,2958 is 6.

Lets's calculate LCM of 29,894

Given numbers has no common factors except 1. So, there LCM is their product i.e 25926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/25926

Therefore, the GCF of Fractions 1200/29,2958/894 is 6/25926

Least Common Multiple of 29,894 with GCF Formula

Least Common Multiple of 29,894 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 29,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,894) = 1

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

GCF(29,894) x common factors =1 x 1 = 1

LCM(29,894) = ( 29 × 894 ) / 1

LCM(29,894) = 25926 / 1

LCM(29,894) = 25926


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 1200/29, 2958/894

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 1200/29, 2958/894?

Answer: GCF of Numerators as per given numbers 1200/29, 2958/894 is

GCF of Numerators i.e. for 1200,2958 is 6

LCM of denominators i.e. for 29,894 is 25926.

Thus, GCF of Fractions is 6/25926.Finally, GCF of Fractions for 1200/29, 2958/894 is 6/25926.