Greatest Common Factor of 3210/512, 4060/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3210/512, 4060/124

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 3210/512,4060/124

Given fractions are 3210/512,4060/124

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 3210,4060

Greatest Common Factor of Numerators i.e. GCF of 3210,4060 is 10 .

LCM of Denominators means LCM of 512,124 as per the given fractions.

LCM of 512,124 is 15872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3210,4060

GCF of Fractions 3210/512,4060/124 is 10/15872

2 3210, 4060
5 1605, 2030
321, 406

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

Greatest Common Factor of 3210,4060 By Matching Biggest Common Factor Method

Greatest Common Factor of 3210,4060 By Matching Biggest Common Factor Method

Factors of 3210

List of positive integer factors of 3210 that divides 3210 without a remainder.

1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210

Factors of 4060

List of positive integer factors of 4060 that divides 4060 without a remainder.

1,2,4,5,7,10,14,20,28,29,35,58,70,116,140,145,203,290,406,580,812,1015,2030,4060

Greatest Common Factor

We found the factors 3210,4060 . The biggest common factor number is the GCF number.
So the greatest common factor 3210,4060 is 10.

Lets's calculate LCM of 512,124

2 512, 124
2 256, 62
128, 31

∴ So the LCM of the given numbers is 2 x 2 x 128 x 31 = 15872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/15872

Therefore, the GCF of Fractions 3210/512,4060/124 is 10/15872

Least Common Multiple of 512,124 with GCF Formula

Least Common Multiple of 512,124 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 512,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,124) = 4

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

GCF(512,124) x common factors =4 x 1 = 4

LCM(512,124) = ( 512 × 124 ) / 4

LCM(512,124) = 63488 / 4

LCM(512,124) = 15872


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 3210/512, 4060/124

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 3210/512, 4060/124?

Answer: GCF of Numerators as per given numbers 3210/512, 4060/124 is

GCF of Numerators i.e. for 3210,4060 is 10

LCM of denominators i.e. for 512,124 is 15872.

Thus, GCF of Fractions is 10/15872.Finally, GCF of Fractions for 3210/512, 4060/124 is 10/15872.