Greatest Common Factor of 632/168, 6440/6998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 632/168, 6440/6998

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 632/168,6440/6998

Given fractions are 632/168,6440/6998

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 632,6440

Greatest Common Factor of Numerators i.e. GCF of 632,6440 is 8 .

LCM of Denominators means LCM of 168,6998 as per the given fractions.

LCM of 168,6998 is 587832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 632,6440

GCF of Fractions 632/168,6440/6998 is 8/587832

2 632, 6440
2 316, 3220
2 158, 1610
79, 805

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 632,6440 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,6440 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 6440

List of positive integer factors of 6440 that divides 6440 without a remainder.

1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440

Greatest Common Factor

We found the factors 632,6440 . The biggest common factor number is the GCF number.
So the greatest common factor 632,6440 is 8.

Lets's calculate LCM of 168,6998

2 168, 6998
84, 3499

∴ So the LCM of the given numbers is 2 x 84 x 3499 = 587832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/587832

Therefore, the GCF of Fractions 632/168,6440/6998 is 8/587832

Least Common Multiple of 168,6998 with GCF Formula

Least Common Multiple of 168,6998 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 168,6998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,6998) = 2

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

GCF(168,6998) x common factors =2 x 1 = 2

LCM(168,6998) = ( 168 × 6998 ) / 2

LCM(168,6998) = 1175664 / 2

LCM(168,6998) = 587832


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 632/168, 6440/6998

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 632/168, 6440/6998?

Answer: GCF of Numerators as per given numbers 632/168, 6440/6998 is

GCF of Numerators i.e. for 632,6440 is 8

LCM of denominators i.e. for 168,6998 is 587832.

Thus, GCF of Fractions is 8/587832.Finally, GCF of Fractions for 632/168, 6440/6998 is 8/587832.