Greatest Common Factor of 4790/19, 3280/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4790/19, 3280/105

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 4790/19,3280/105

Given fractions are 4790/19,3280/105

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 4790,3280

Greatest Common Factor of Numerators i.e. GCF of 4790,3280 is 10 .

LCM of Denominators means LCM of 19,105 as per the given fractions.

LCM of 19,105 is 1995 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4790,3280

GCF of Fractions 4790/19,3280/105 is 10/1995

2 4790, 3280
5 2395, 1640
479, 328

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

Greatest Common Factor of 4790,3280 By Matching Biggest Common Factor Method

Greatest Common Factor of 4790,3280 By Matching Biggest Common Factor Method

Factors of 4790

List of positive integer factors of 4790 that divides 4790 without a remainder.

1,2,5,10,479,958,2395,4790

Factors of 3280

List of positive integer factors of 3280 that divides 3280 without a remainder.

1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280

Greatest Common Factor

We found the factors 4790,3280 . The biggest common factor number is the GCF number.
So the greatest common factor 4790,3280 is 10.

Lets's calculate LCM of 19,105

Given numbers has no common factors except 1. So, there LCM is their product i.e 1995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1995

Therefore, the GCF of Fractions 4790/19,3280/105 is 10/1995

Least Common Multiple of 19,105 with GCF Formula

Least Common Multiple of 19,105 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 19,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,105) = 1

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

GCF(19,105) x common factors =1 x 1 = 1

LCM(19,105) = ( 19 × 105 ) / 1

LCM(19,105) = 1995 / 1

LCM(19,105) = 1995


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 4790/19, 3280/105

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 4790/19, 3280/105?

Answer: GCF of Numerators as per given numbers 4790/19, 3280/105 is

GCF of Numerators i.e. for 4790,3280 is 10

LCM of denominators i.e. for 19,105 is 1995.

Thus, GCF of Fractions is 10/1995.Finally, GCF of Fractions for 4790/19, 3280/105 is 10/1995.