Greatest Common Factor of 9970/481, 7360/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9970/481, 7360/439

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 9970/481,7360/439

Given fractions are 9970/481,7360/439

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 9970,7360

Greatest Common Factor of Numerators i.e. GCF of 9970,7360 is 10 .

LCM of Denominators means LCM of 481,439 as per the given fractions.

LCM of 481,439 is 211159 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9970,7360

GCF of Fractions 9970/481,7360/439 is 10/211159

2 9970, 7360
5 4985, 3680
997, 736

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 9970,7360 By Matching Biggest Common Factor Method

Greatest Common Factor of 9970,7360 By Matching Biggest Common Factor Method

Factors of 9970

List of positive integer factors of 9970 that divides 9970 without a remainder.

1,2,5,10,997,1994,4985,9970

Factors of 7360

List of positive integer factors of 7360 that divides 7360 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360

Greatest Common Factor

We found the factors 9970,7360 . The biggest common factor number is the GCF number.
So the greatest common factor 9970,7360 is 10.

Lets's calculate LCM of 481,439

Given numbers has no common factors except 1. So, there LCM is their product i.e 211159

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/211159

Therefore, the GCF of Fractions 9970/481,7360/439 is 10/211159

Least Common Multiple of 481,439 with GCF Formula

Least Common Multiple of 481,439 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 481,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,439) = 1

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

GCF(481,439) x common factors =1 x 1 = 1

LCM(481,439) = ( 481 × 439 ) / 1

LCM(481,439) = 211159 / 1

LCM(481,439) = 211159


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 9970/481, 7360/439

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 9970/481, 7360/439?

Answer: GCF of Numerators as per given numbers 9970/481, 7360/439 is

GCF of Numerators i.e. for 9970,7360 is 10

LCM of denominators i.e. for 481,439 is 211159.

Thus, GCF of Fractions is 10/211159.Finally, GCF of Fractions for 9970/481, 7360/439 is 10/211159.