Greatest Common Factor of 4840/83, 6100/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4840/83, 6100/104

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 4840/83,6100/104

Given fractions are 4840/83,6100/104

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 4840,6100

Greatest Common Factor of Numerators i.e. GCF of 4840,6100 is 20 .

LCM of Denominators means LCM of 83,104 as per the given fractions.

LCM of 83,104 is 8632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4840,6100

GCF of Fractions 4840/83,6100/104 is 20/8632

2 4840, 6100
2 2420, 3050
5 1210, 1525
242, 305

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 4840,6100 By Matching Biggest Common Factor Method

Greatest Common Factor of 4840,6100 By Matching Biggest Common Factor Method

Factors of 4840

List of positive integer factors of 4840 that divides 4840 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,121,220,242,440,484,605,968,1210,2420,4840

Factors of 6100

List of positive integer factors of 6100 that divides 6100 without a remainder.

1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100

Greatest Common Factor

We found the factors 4840,6100 . The biggest common factor number is the GCF number.
So the greatest common factor 4840,6100 is 20.

Lets's calculate LCM of 83,104

Given numbers has no common factors except 1. So, there LCM is their product i.e 8632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/8632

Therefore, the GCF of Fractions 4840/83,6100/104 is 20/8632

Least Common Multiple of 83,104 with GCF Formula

Least Common Multiple of 83,104 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 83,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,104) = 1

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

GCF(83,104) x common factors =1 x 1 = 1

LCM(83,104) = ( 83 × 104 ) / 1

LCM(83,104) = 8632 / 1

LCM(83,104) = 8632


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 4840/83, 6100/104

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 4840/83, 6100/104?

Answer: GCF of Numerators as per given numbers 4840/83, 6100/104 is

GCF of Numerators i.e. for 4840,6100 is 20

LCM of denominators i.e. for 83,104 is 8632.

Thus, GCF of Fractions is 20/8632.Finally, GCF of Fractions for 4840/83, 6100/104 is 20/8632.