Greatest Common Factor of 8322/601, 4460/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8322/601, 4460/767

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 8322/601,4460/767

Given fractions are 8322/601,4460/767

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 8322,4460

Greatest Common Factor of Numerators i.e. GCF of 8322,4460 is 2 .

LCM of Denominators means LCM of 601,767 as per the given fractions.

LCM of 601,767 is 460967 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8322,4460

GCF of Fractions 8322/601,4460/767 is 2/460967

2 8322, 4460
4161, 2230

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

Greatest Common Factor of 8322,4460 By Matching Biggest Common Factor Method

Greatest Common Factor of 8322,4460 By Matching Biggest Common Factor Method

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322

Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1,2,4,5,10,20,223,446,892,1115,2230,4460

Greatest Common Factor

We found the factors 8322,4460 . The biggest common factor number is the GCF number.
So the greatest common factor 8322,4460 is 2.

Lets's calculate LCM of 601,767

Given numbers has no common factors except 1. So, there LCM is their product i.e 460967

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/460967

Therefore, the GCF of Fractions 8322/601,4460/767 is 2/460967

Least Common Multiple of 601,767 with GCF Formula

Least Common Multiple of 601,767 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 601,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,767) = 1

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

GCF(601,767) x common factors =1 x 1 = 1

LCM(601,767) = ( 601 × 767 ) / 1

LCM(601,767) = 460967 / 1

LCM(601,767) = 460967


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 8322/601, 4460/767

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 8322/601, 4460/767?

Answer: GCF of Numerators as per given numbers 8322/601, 4460/767 is

GCF of Numerators i.e. for 8322,4460 is 2

LCM of denominators i.e. for 601,767 is 460967.

Thus, GCF of Fractions is 2/460967.Finally, GCF of Fractions for 8322/601, 4460/767 is 2/460967.