Greatest Common Factor of 5858/242, 2967/8007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5858/242, 2967/8007

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 5858/242,2967/8007

Given fractions are 5858/242,2967/8007

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 5858,2967

Greatest Common Factor of Numerators i.e. GCF of 5858,2967 is 1 .

LCM of Denominators means LCM of 242,8007 as per the given fractions.

LCM of 242,8007 is 1937694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5858,2967

GCF of Fractions 5858/242,2967/8007 is 1/1937694

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

Greatest Common Factor of 5858,2967 By Matching Biggest Common Factor Method

Greatest Common Factor of 5858,2967 By Matching Biggest Common Factor Method

Factors of 5858

List of positive integer factors of 5858 that divides 5858 without a remainder.

1,2,29,58,101,202,2929,5858

Factors of 2967

List of positive integer factors of 2967 that divides 2967 without a remainder.

1,3,23,43,69,129,989,2967

Greatest Common Factor

We found the factors 5858,2967 . The biggest common factor number is the GCF number.
So the greatest common factor 5858,2967 is 1.

Lets's calculate LCM of 242,8007

Given numbers has no common factors except 1. So, there LCM is their product i.e 1937694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1937694

Therefore, the GCF of Fractions 5858/242,2967/8007 is 1/1937694

Least Common Multiple of 242,8007 with GCF Formula

Least Common Multiple of 242,8007 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 242,8007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,8007) = 1

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

GCF(242,8007) x common factors =1 x 1 = 1

LCM(242,8007) = ( 242 × 8007 ) / 1

LCM(242,8007) = 1937694 / 1

LCM(242,8007) = 1937694


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 5858/242, 2967/8007

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 5858/242, 2967/8007?

Answer: GCF of Numerators as per given numbers 5858/242, 2967/8007 is

GCF of Numerators i.e. for 5858,2967 is 1

LCM of denominators i.e. for 242,8007 is 1937694.

Thus, GCF of Fractions is 1/1937694.Finally, GCF of Fractions for 5858/242, 2967/8007 is 1/1937694.