Greatest Common Factor of 4160/162, 4924/3083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4160/162, 4924/3083

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 4160/162,4924/3083

Given fractions are 4160/162,4924/3083

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 4160,4924

Greatest Common Factor of Numerators i.e. GCF of 4160,4924 is 4 .

LCM of Denominators means LCM of 162,3083 as per the given fractions.

LCM of 162,3083 is 499446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4160,4924

GCF of Fractions 4160/162,4924/3083 is 4/499446

2 4160, 4924
2 2080, 2462
1040, 1231

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4160,4924 By Matching Biggest Common Factor Method

Greatest Common Factor of 4160,4924 By Matching Biggest Common Factor Method

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160

Factors of 4924

List of positive integer factors of 4924 that divides 4924 without a remainder.

1,2,4,1231,2462,4924

Greatest Common Factor

We found the factors 4160,4924 . The biggest common factor number is the GCF number.
So the greatest common factor 4160,4924 is 4.

Lets's calculate LCM of 162,3083

Given numbers has no common factors except 1. So, there LCM is their product i.e 499446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/499446

Therefore, the GCF of Fractions 4160/162,4924/3083 is 4/499446

Least Common Multiple of 162,3083 with GCF Formula

Least Common Multiple of 162,3083 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 162,3083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,3083) = 1

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

GCF(162,3083) x common factors =1 x 1 = 1

LCM(162,3083) = ( 162 × 3083 ) / 1

LCM(162,3083) = 499446 / 1

LCM(162,3083) = 499446


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 4160/162, 4924/3083

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 4160/162, 4924/3083?

Answer: GCF of Numerators as per given numbers 4160/162, 4924/3083 is

GCF of Numerators i.e. for 4160,4924 is 4

LCM of denominators i.e. for 162,3083 is 499446.

Thus, GCF of Fractions is 4/499446.Finally, GCF of Fractions for 4160/162, 4924/3083 is 4/499446.