Greatest Common Factor of 5932/49, 1620/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5932/49, 1620/162

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 5932/49,1620/162

Given fractions are 5932/49,1620/162

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 5932,1620

Greatest Common Factor of Numerators i.e. GCF of 5932,1620 is 4 .

LCM of Denominators means LCM of 49,162 as per the given fractions.

LCM of 49,162 is 7938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5932,1620

GCF of Fractions 5932/49,1620/162 is 4/7938

2 5932, 1620
2 2966, 810
1483, 405

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

Greatest Common Factor of 5932,1620 By Matching Biggest Common Factor Method

Greatest Common Factor of 5932,1620 By Matching Biggest Common Factor Method

Factors of 5932

List of positive integer factors of 5932 that divides 5932 without a remainder.

1,2,4,1483,2966,5932

Factors of 1620

List of positive integer factors of 1620 that divides 1620 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620

Greatest Common Factor

We found the factors 5932,1620 . The biggest common factor number is the GCF number.
So the greatest common factor 5932,1620 is 4.

Lets's calculate LCM of 49,162

Given numbers has no common factors except 1. So, there LCM is their product i.e 7938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7938

Therefore, the GCF of Fractions 5932/49,1620/162 is 4/7938

Least Common Multiple of 49,162 with GCF Formula

Least Common Multiple of 49,162 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 49,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,162) = 1

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

GCF(49,162) x common factors =1 x 1 = 1

LCM(49,162) = ( 49 × 162 ) / 1

LCM(49,162) = 7938 / 1

LCM(49,162) = 7938


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 5932/49, 1620/162

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 5932/49, 1620/162?

Answer: GCF of Numerators as per given numbers 5932/49, 1620/162 is

GCF of Numerators i.e. for 5932,1620 is 4

LCM of denominators i.e. for 49,162 is 7938.

Thus, GCF of Fractions is 4/7938.Finally, GCF of Fractions for 5932/49, 1620/162 is 4/7938.