Greatest Common Factor of 1996/634, 6632/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1996/634, 6632/512

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 1996/634,6632/512

Given fractions are 1996/634,6632/512

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 1996,6632

Greatest Common Factor of Numerators i.e. GCF of 1996,6632 is 4 .

LCM of Denominators means LCM of 634,512 as per the given fractions.

LCM of 634,512 is 162304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1996,6632

GCF of Fractions 1996/634,6632/512 is 4/162304

2 1996, 6632
2 998, 3316
499, 1658

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

Greatest Common Factor of 1996,6632 By Matching Biggest Common Factor Method

Greatest Common Factor of 1996,6632 By Matching Biggest Common Factor Method

Factors of 1996

List of positive integer factors of 1996 that divides 1996 without a remainder.

1,2,4,499,998,1996

Factors of 6632

List of positive integer factors of 6632 that divides 6632 without a remainder.

1,2,4,8,829,1658,3316,6632

Greatest Common Factor

We found the factors 1996,6632 . The biggest common factor number is the GCF number.
So the greatest common factor 1996,6632 is 4.

Lets's calculate LCM of 634,512

2 634, 512
317, 256

∴ So the LCM of the given numbers is 2 x 317 x 256 = 162304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/162304

Therefore, the GCF of Fractions 1996/634,6632/512 is 4/162304

Least Common Multiple of 634,512 with GCF Formula

Least Common Multiple of 634,512 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 634,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,512) = 2

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

GCF(634,512) x common factors =2 x 1 = 2

LCM(634,512) = ( 634 × 512 ) / 2

LCM(634,512) = 324608 / 2

LCM(634,512) = 162304


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 1996/634, 6632/512

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 1996/634, 6632/512?

Answer: GCF of Numerators as per given numbers 1996/634, 6632/512 is

GCF of Numerators i.e. for 1996,6632 is 4

LCM of denominators i.e. for 634,512 is 162304.

Thus, GCF of Fractions is 4/162304.Finally, GCF of Fractions for 1996/634, 6632/512 is 4/162304.