Greatest Common Factor of 3216/460, 7226/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3216/460, 7226/961

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 3216/460,7226/961

Given fractions are 3216/460,7226/961

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 3216,7226

Greatest Common Factor of Numerators i.e. GCF of 3216,7226 is 2 .

LCM of Denominators means LCM of 460,961 as per the given fractions.

LCM of 460,961 is 442060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3216,7226

GCF of Fractions 3216/460,7226/961 is 2/442060

2 3216, 7226
1608, 3613

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

Greatest Common Factor of 3216,7226 By Matching Biggest Common Factor Method

Greatest Common Factor of 3216,7226 By Matching Biggest Common Factor Method

Factors of 3216

List of positive integer factors of 3216 that divides 3216 without a remainder.

1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216

Factors of 7226

List of positive integer factors of 7226 that divides 7226 without a remainder.

1,2,3613,7226

Greatest Common Factor

We found the factors 3216,7226 . The biggest common factor number is the GCF number.
So the greatest common factor 3216,7226 is 2.

Lets's calculate LCM of 460,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 442060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/442060

Therefore, the GCF of Fractions 3216/460,7226/961 is 2/442060

Least Common Multiple of 460,961 with GCF Formula

Least Common Multiple of 460,961 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 460,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,961) = 1

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

GCF(460,961) x common factors =1 x 1 = 1

LCM(460,961) = ( 460 × 961 ) / 1

LCM(460,961) = 442060 / 1

LCM(460,961) = 442060


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 3216/460, 7226/961

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 3216/460, 7226/961?

Answer: GCF of Numerators as per given numbers 3216/460, 7226/961 is

GCF of Numerators i.e. for 3216,7226 is 2

LCM of denominators i.e. for 460,961 is 442060.

Thus, GCF of Fractions is 2/442060.Finally, GCF of Fractions for 3216/460, 7226/961 is 2/442060.