Greatest Common Factor of 506/2974, 890/6167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/2974, 890/6167

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 506/2974,890/6167

Given fractions are 506/2974,890/6167

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 506,890

Greatest Common Factor of Numerators i.e. GCF of 506,890 is 2 .

LCM of Denominators means LCM of 2974,6167 as per the given fractions.

LCM of 2974,6167 is 18340658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,890

GCF of Fractions 506/2974,890/6167 is 2/18340658

2 506, 890
253, 445

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

Greatest Common Factor of 506,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,890 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 506,890 . The biggest common factor number is the GCF number.
So the greatest common factor 506,890 is 2.

Lets's calculate LCM of 2974,6167

Given numbers has no common factors except 1. So, there LCM is their product i.e 18340658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18340658

Therefore, the GCF of Fractions 506/2974,890/6167 is 2/18340658

Least Common Multiple of 2974,6167 with GCF Formula

Least Common Multiple of 2974,6167 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 2974,6167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2974,6167) = 1

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

GCF(2974,6167) x common factors =1 x 1 = 1

LCM(2974,6167) = ( 2974 × 6167 ) / 1

LCM(2974,6167) = 18340658 / 1

LCM(2974,6167) = 18340658


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 506/2974, 890/6167

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 506/2974, 890/6167?

Answer: GCF of Numerators as per given numbers 506/2974, 890/6167 is

GCF of Numerators i.e. for 506,890 is 2

LCM of denominators i.e. for 2974,6167 is 18340658.

Thus, GCF of Fractions is 2/18340658.Finally, GCF of Fractions for 506/2974, 890/6167 is 2/18340658.