Greatest Common Factor of 3293/920, 1664/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3293/920, 1664/725

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 3293/920,1664/725

Given fractions are 3293/920,1664/725

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 3293,1664

Greatest Common Factor of Numerators i.e. GCF of 3293,1664 is 1 .

LCM of Denominators means LCM of 920,725 as per the given fractions.

LCM of 920,725 is 133400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3293,1664

GCF of Fractions 3293/920,1664/725 is 1/133400

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

Greatest Common Factor of 3293,1664 By Matching Biggest Common Factor Method

Greatest Common Factor of 3293,1664 By Matching Biggest Common Factor Method

Factors of 3293

List of positive integer factors of 3293 that divides 3293 without a remainder.

1,37,89,3293

Factors of 1664

List of positive integer factors of 1664 that divides 1664 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664

Greatest Common Factor

We found the factors 3293,1664 . The biggest common factor number is the GCF number.
So the greatest common factor 3293,1664 is 1.

Lets's calculate LCM of 920,725

5 920, 725
184, 145

∴ So the LCM of the given numbers is 5 x 184 x 145 = 133400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133400

Therefore, the GCF of Fractions 3293/920,1664/725 is 1/133400

Least Common Multiple of 920,725 with GCF Formula

Least Common Multiple of 920,725 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 920,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,725) = 5

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

GCF(920,725) x common factors =5 x 1 = 5

LCM(920,725) = ( 920 × 725 ) / 5

LCM(920,725) = 667000 / 5

LCM(920,725) = 133400


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 3293/920, 1664/725

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 3293/920, 1664/725?

Answer: GCF of Numerators as per given numbers 3293/920, 1664/725 is

GCF of Numerators i.e. for 3293,1664 is 1

LCM of denominators i.e. for 920,725 is 133400.

Thus, GCF of Fractions is 1/133400.Finally, GCF of Fractions for 3293/920, 1664/725 is 1/133400.