Greatest Common Factor of 4014/640, 8432/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4014/640, 8432/733

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 4014/640,8432/733

Given fractions are 4014/640,8432/733

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 4014,8432

Greatest Common Factor of Numerators i.e. GCF of 4014,8432 is 2 .

LCM of Denominators means LCM of 640,733 as per the given fractions.

LCM of 640,733 is 469120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4014,8432

GCF of Fractions 4014/640,8432/733 is 2/469120

2 4014, 8432
2007, 4216

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

Greatest Common Factor of 4014,8432 By Matching Biggest Common Factor Method

Greatest Common Factor of 4014,8432 By Matching Biggest Common Factor Method

Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1,2,3,6,9,18,223,446,669,1338,2007,4014

Factors of 8432

List of positive integer factors of 8432 that divides 8432 without a remainder.

1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432

Greatest Common Factor

We found the factors 4014,8432 . The biggest common factor number is the GCF number.
So the greatest common factor 4014,8432 is 2.

Lets's calculate LCM of 640,733

Given numbers has no common factors except 1. So, there LCM is their product i.e 469120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/469120

Therefore, the GCF of Fractions 4014/640,8432/733 is 2/469120

Least Common Multiple of 640,733 with GCF Formula

Least Common Multiple of 640,733 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 640,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,733) = 1

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

GCF(640,733) x common factors =1 x 1 = 1

LCM(640,733) = ( 640 × 733 ) / 1

LCM(640,733) = 469120 / 1

LCM(640,733) = 469120


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 4014/640, 8432/733

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 4014/640, 8432/733?

Answer: GCF of Numerators as per given numbers 4014/640, 8432/733 is

GCF of Numerators i.e. for 4014,8432 is 2

LCM of denominators i.e. for 640,733 is 469120.

Thus, GCF of Fractions is 2/469120.Finally, GCF of Fractions for 4014/640, 8432/733 is 2/469120.