Greatest Common Factor of 3988/473, 6352/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3988/473, 6352/598

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 3988/473,6352/598

Given fractions are 3988/473,6352/598

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 3988,6352

Greatest Common Factor of Numerators i.e. GCF of 3988,6352 is 4 .

LCM of Denominators means LCM of 473,598 as per the given fractions.

LCM of 473,598 is 282854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3988,6352

GCF of Fractions 3988/473,6352/598 is 4/282854

2 3988, 6352
2 1994, 3176
997, 1588

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

Greatest Common Factor of 3988,6352 By Matching Biggest Common Factor Method

Greatest Common Factor of 3988,6352 By Matching Biggest Common Factor Method

Factors of 3988

List of positive integer factors of 3988 that divides 3988 without a remainder.

1,2,4,997,1994,3988

Factors of 6352

List of positive integer factors of 6352 that divides 6352 without a remainder.

1,2,4,8,16,397,794,1588,3176,6352

Greatest Common Factor

We found the factors 3988,6352 . The biggest common factor number is the GCF number.
So the greatest common factor 3988,6352 is 4.

Lets's calculate LCM of 473,598

Given numbers has no common factors except 1. So, there LCM is their product i.e 282854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/282854

Therefore, the GCF of Fractions 3988/473,6352/598 is 4/282854

Least Common Multiple of 473,598 with GCF Formula

Least Common Multiple of 473,598 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 473,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,598) = 1

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

GCF(473,598) x common factors =1 x 1 = 1

LCM(473,598) = ( 473 × 598 ) / 1

LCM(473,598) = 282854 / 1

LCM(473,598) = 282854


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 3988/473, 6352/598

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 3988/473, 6352/598?

Answer: GCF of Numerators as per given numbers 3988/473, 6352/598 is

GCF of Numerators i.e. for 3988,6352 is 4

LCM of denominators i.e. for 473,598 is 282854.

Thus, GCF of Fractions is 4/282854.Finally, GCF of Fractions for 3988/473, 6352/598 is 4/282854.