Greatest Common Factor of 4988/461, 9604/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4988/461, 9604/968

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 4988/461,9604/968

Given fractions are 4988/461,9604/968

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 4988,9604

Greatest Common Factor of Numerators i.e. GCF of 4988,9604 is 4 .

LCM of Denominators means LCM of 461,968 as per the given fractions.

LCM of 461,968 is 446248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4988,9604

GCF of Fractions 4988/461,9604/968 is 4/446248

2 4988, 9604
2 2494, 4802
1247, 2401

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

Greatest Common Factor of 4988,9604 By Matching Biggest Common Factor Method

Greatest Common Factor of 4988,9604 By Matching Biggest Common Factor Method

Factors of 4988

List of positive integer factors of 4988 that divides 4988 without a remainder.

1,2,4,29,43,58,86,116,172,1247,2494,4988

Factors of 9604

List of positive integer factors of 9604 that divides 9604 without a remainder.

1,2,4,7,14,28,49,98,196,343,686,1372,2401,4802,9604

Greatest Common Factor

We found the factors 4988,9604 . The biggest common factor number is the GCF number.
So the greatest common factor 4988,9604 is 4.

Lets's calculate LCM of 461,968

Given numbers has no common factors except 1. So, there LCM is their product i.e 446248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/446248

Therefore, the GCF of Fractions 4988/461,9604/968 is 4/446248

Least Common Multiple of 461,968 with GCF Formula

Least Common Multiple of 461,968 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 461,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,968) = 1

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

GCF(461,968) x common factors =1 x 1 = 1

LCM(461,968) = ( 461 × 968 ) / 1

LCM(461,968) = 446248 / 1

LCM(461,968) = 446248


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 4988/461, 9604/968

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 4988/461, 9604/968?

Answer: GCF of Numerators as per given numbers 4988/461, 9604/968 is

GCF of Numerators i.e. for 4988,9604 is 4

LCM of denominators i.e. for 461,968 is 446248.

Thus, GCF of Fractions is 4/446248.Finally, GCF of Fractions for 4988/461, 9604/968 is 4/446248.