Greatest Common Factor of 5005/290, 7077/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5005/290, 7077/126

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 5005/290,7077/126

Given fractions are 5005/290,7077/126

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 5005,7077

Greatest Common Factor of Numerators i.e. GCF of 5005,7077 is 7 .

LCM of Denominators means LCM of 290,126 as per the given fractions.

LCM of 290,126 is 18270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5005,7077

GCF of Fractions 5005/290,7077/126 is 7/18270

7 5005, 7077
715, 1011

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5005,7077 By Matching Biggest Common Factor Method

Greatest Common Factor of 5005,7077 By Matching Biggest Common Factor Method

Factors of 5005

List of positive integer factors of 5005 that divides 5005 without a remainder.

1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005

Factors of 7077

List of positive integer factors of 7077 that divides 7077 without a remainder.

1,3,7,21,337,1011,2359,7077

Greatest Common Factor

We found the factors 5005,7077 . The biggest common factor number is the GCF number.
So the greatest common factor 5005,7077 is 7.

Lets's calculate LCM of 290,126

2 290, 126
145, 63

∴ So the LCM of the given numbers is 2 x 145 x 63 = 18270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/18270

Therefore, the GCF of Fractions 5005/290,7077/126 is 7/18270

Least Common Multiple of 290,126 with GCF Formula

Least Common Multiple of 290,126 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 290,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,126) = 2

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

GCF(290,126) x common factors =2 x 1 = 2

LCM(290,126) = ( 290 × 126 ) / 2

LCM(290,126) = 36540 / 2

LCM(290,126) = 18270


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 5005/290, 7077/126

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 5005/290, 7077/126?

Answer: GCF of Numerators as per given numbers 5005/290, 7077/126 is

GCF of Numerators i.e. for 5005,7077 is 7

LCM of denominators i.e. for 290,126 is 18270.

Thus, GCF of Fractions is 7/18270.Finally, GCF of Fractions for 5005/290, 7077/126 is 7/18270.