Greatest Common Factor of 9790/464, 9705/4182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9790/464, 9705/4182

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 9790/464,9705/4182

Given fractions are 9790/464,9705/4182

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 9790,9705

Greatest Common Factor of Numerators i.e. GCF of 9790,9705 is 5 .

LCM of Denominators means LCM of 464,4182 as per the given fractions.

LCM of 464,4182 is 970224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9790,9705

GCF of Fractions 9790/464,9705/4182 is 5/970224

5 9790, 9705
1958, 1941

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9790,9705 By Matching Biggest Common Factor Method

Greatest Common Factor of 9790,9705 By Matching Biggest Common Factor Method

Factors of 9790

List of positive integer factors of 9790 that divides 9790 without a remainder.

1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790

Factors of 9705

List of positive integer factors of 9705 that divides 9705 without a remainder.

1,3,5,15,647,1941,3235,9705

Greatest Common Factor

We found the factors 9790,9705 . The biggest common factor number is the GCF number.
So the greatest common factor 9790,9705 is 5.

Lets's calculate LCM of 464,4182

2 464, 4182
232, 2091

∴ So the LCM of the given numbers is 2 x 232 x 2091 = 970224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/970224

Therefore, the GCF of Fractions 9790/464,9705/4182 is 5/970224

Least Common Multiple of 464,4182 with GCF Formula

Least Common Multiple of 464,4182 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 464,4182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,4182) = 2

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

GCF(464,4182) x common factors =2 x 1 = 2

LCM(464,4182) = ( 464 × 4182 ) / 2

LCM(464,4182) = 1940448 / 2

LCM(464,4182) = 970224


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 9790/464, 9705/4182

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 9790/464, 9705/4182?

Answer: GCF of Numerators as per given numbers 9790/464, 9705/4182 is

GCF of Numerators i.e. for 9790,9705 is 5

LCM of denominators i.e. for 464,4182 is 970224.

Thus, GCF of Fractions is 5/970224.Finally, GCF of Fractions for 9790/464, 9705/4182 is 5/970224.