Greatest Common Factor of 4929/989, 3483/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4929/989, 3483/988

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 4929/989,3483/988

Given fractions are 4929/989,3483/988

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 4929,3483

Greatest Common Factor of Numerators i.e. GCF of 4929,3483 is 3 .

LCM of Denominators means LCM of 989,988 as per the given fractions.

LCM of 989,988 is 977132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4929,3483

GCF of Fractions 4929/989,3483/988 is 3/977132

3 4929, 3483
1643, 1161

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4929,3483 By Matching Biggest Common Factor Method

Greatest Common Factor of 4929,3483 By Matching Biggest Common Factor Method

Factors of 4929

List of positive integer factors of 4929 that divides 4929 without a remainder.

1,3,31,53,93,159,1643,4929

Factors of 3483

List of positive integer factors of 3483 that divides 3483 without a remainder.

1,3,9,27,43,81,129,387,1161,3483

Greatest Common Factor

We found the factors 4929,3483 . The biggest common factor number is the GCF number.
So the greatest common factor 4929,3483 is 3.

Lets's calculate LCM of 989,988

Given numbers has no common factors except 1. So, there LCM is their product i.e 977132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/977132

Therefore, the GCF of Fractions 4929/989,3483/988 is 3/977132

Least Common Multiple of 989,988 with GCF Formula

Least Common Multiple of 989,988 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 989,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,988) = 1

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

GCF(989,988) x common factors =1 x 1 = 1

LCM(989,988) = ( 989 × 988 ) / 1

LCM(989,988) = 977132 / 1

LCM(989,988) = 977132


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 4929/989, 3483/988

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 4929/989, 3483/988?

Answer: GCF of Numerators as per given numbers 4929/989, 3483/988 is

GCF of Numerators i.e. for 4929,3483 is 3

LCM of denominators i.e. for 989,988 is 977132.

Thus, GCF of Fractions is 3/977132.Finally, GCF of Fractions for 4929/989, 3483/988 is 3/977132.