Greatest Common Factor of 6461/912, 3599/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6461/912, 3599/960

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 6461/912,3599/960

Given fractions are 6461/912,3599/960

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 6461,3599

Greatest Common Factor of Numerators i.e. GCF of 6461,3599 is 1 .

LCM of Denominators means LCM of 912,960 as per the given fractions.

LCM of 912,960 is 18240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6461,3599

GCF of Fractions 6461/912,3599/960 is 1/18240

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6461,3599 By Matching Biggest Common Factor Method

Greatest Common Factor of 6461,3599 By Matching Biggest Common Factor Method

Factors of 6461

List of positive integer factors of 6461 that divides 6461 without a remainder.

1,7,13,71,91,497,923,6461

Factors of 3599

List of positive integer factors of 3599 that divides 3599 without a remainder.

1,59,61,3599

Greatest Common Factor

We found the factors 6461,3599 . The biggest common factor number is the GCF number.
So the greatest common factor 6461,3599 is 1.

Lets's calculate LCM of 912,960

2 912, 960
2 456, 480
2 228, 240
2 114, 120
3 57, 60
19, 20

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 19 x 20 = 18240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18240

Therefore, the GCF of Fractions 6461/912,3599/960 is 1/18240

Least Common Multiple of 912,960 with GCF Formula

Least Common Multiple of 912,960 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 912,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,960) = 48

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

GCF(912,960) x common factors =48 x 1 = 48

LCM(912,960) = ( 912 × 960 ) / 48

LCM(912,960) = 875520 / 48

LCM(912,960) = 18240


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 6461/912, 3599/960

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 6461/912, 3599/960?

Answer: GCF of Numerators as per given numbers 6461/912, 3599/960 is

GCF of Numerators i.e. for 6461,3599 is 1

LCM of denominators i.e. for 912,960 is 18240.

Thus, GCF of Fractions is 1/18240.Finally, GCF of Fractions for 6461/912, 3599/960 is 1/18240.