Greatest Common Factor of 6462/665, 6732/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6462/665, 6732/100

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 6462/665,6732/100

Given fractions are 6462/665,6732/100

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 6462,6732

Greatest Common Factor of Numerators i.e. GCF of 6462,6732 is 18 .

LCM of Denominators means LCM of 665,100 as per the given fractions.

LCM of 665,100 is 13300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6462,6732

GCF of Fractions 6462/665,6732/100 is 18/13300

2 6462, 6732
3 3231, 3366
3 1077, 1122
359, 374

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 6462,6732 By Matching Biggest Common Factor Method

Greatest Common Factor of 6462,6732 By Matching Biggest Common Factor Method

Factors of 6462

List of positive integer factors of 6462 that divides 6462 without a remainder.

1,2,3,6,9,18,359,718,1077,2154,3231,6462

Factors of 6732

List of positive integer factors of 6732 that divides 6732 without a remainder.

1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732

Greatest Common Factor

We found the factors 6462,6732 . The biggest common factor number is the GCF number.
So the greatest common factor 6462,6732 is 18.

Lets's calculate LCM of 665,100

5 665, 100
133, 20

∴ So the LCM of the given numbers is 5 x 133 x 20 = 13300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/13300

Therefore, the GCF of Fractions 6462/665,6732/100 is 18/13300

Least Common Multiple of 665,100 with GCF Formula

Least Common Multiple of 665,100 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 665,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,100) = 5

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

GCF(665,100) x common factors =5 x 1 = 5

LCM(665,100) = ( 665 × 100 ) / 5

LCM(665,100) = 66500 / 5

LCM(665,100) = 13300


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 6462/665, 6732/100

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 6462/665, 6732/100?

Answer: GCF of Numerators as per given numbers 6462/665, 6732/100 is

GCF of Numerators i.e. for 6462,6732 is 18

LCM of denominators i.e. for 665,100 is 13300.

Thus, GCF of Fractions is 18/13300.Finally, GCF of Fractions for 6462/665, 6732/100 is 18/13300.