Greatest Common Factor of 5050/40, 5111/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5050/40, 5111/668

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 5050/40,5111/668

Given fractions are 5050/40,5111/668

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 5050,5111

Greatest Common Factor of Numerators i.e. GCF of 5050,5111 is 1 .

LCM of Denominators means LCM of 40,668 as per the given fractions.

LCM of 40,668 is 6680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5050,5111

GCF of Fractions 5050/40,5111/668 is 1/6680

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

Greatest Common Factor of 5050,5111 By Matching Biggest Common Factor Method

Greatest Common Factor of 5050,5111 By Matching Biggest Common Factor Method

Factors of 5050

List of positive integer factors of 5050 that divides 5050 without a remainder.

1,2,5,10,25,50,101,202,505,1010,2525,5050

Factors of 5111

List of positive integer factors of 5111 that divides 5111 without a remainder.

1,19,269,5111

Greatest Common Factor

We found the factors 5050,5111 . The biggest common factor number is the GCF number.
So the greatest common factor 5050,5111 is 1.

Lets's calculate LCM of 40,668

2 40, 668
2 20, 334
10, 167

∴ So the LCM of the given numbers is 2 x 2 x 10 x 167 = 6680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6680

Therefore, the GCF of Fractions 5050/40,5111/668 is 1/6680

Least Common Multiple of 40,668 with GCF Formula

Least Common Multiple of 40,668 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 40,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,668) = 4

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

GCF(40,668) x common factors =4 x 1 = 4

LCM(40,668) = ( 40 × 668 ) / 4

LCM(40,668) = 26720 / 4

LCM(40,668) = 6680


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 5050/40, 5111/668

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 5050/40, 5111/668?

Answer: GCF of Numerators as per given numbers 5050/40, 5111/668 is

GCF of Numerators i.e. for 5050,5111 is 1

LCM of denominators i.e. for 40,668 is 6680.

Thus, GCF of Fractions is 1/6680.Finally, GCF of Fractions for 5050/40, 5111/668 is 1/6680.