Greatest Common Factor of 3840/294, 1322/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3840/294, 1322/726

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 3840/294,1322/726

Given fractions are 3840/294,1322/726

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 3840,1322

Greatest Common Factor of Numerators i.e. GCF of 3840,1322 is 2 .

LCM of Denominators means LCM of 294,726 as per the given fractions.

LCM of 294,726 is 35574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3840,1322

GCF of Fractions 3840/294,1322/726 is 2/35574

2 3840, 1322
1920, 661

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

Greatest Common Factor of 3840,1322 By Matching Biggest Common Factor Method

Greatest Common Factor of 3840,1322 By Matching Biggest Common Factor Method

Factors of 3840

List of positive integer factors of 3840 that divides 3840 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840

Factors of 1322

List of positive integer factors of 1322 that divides 1322 without a remainder.

1,2,661,1322

Greatest Common Factor

We found the factors 3840,1322 . The biggest common factor number is the GCF number.
So the greatest common factor 3840,1322 is 2.

Lets's calculate LCM of 294,726

2 294, 726
3 147, 363
49, 121

∴ So the LCM of the given numbers is 2 x 3 x 49 x 121 = 35574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35574

Therefore, the GCF of Fractions 3840/294,1322/726 is 2/35574

Least Common Multiple of 294,726 with GCF Formula

Least Common Multiple of 294,726 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 294,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,726) = 6

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

GCF(294,726) x common factors =6 x 1 = 6

LCM(294,726) = ( 294 × 726 ) / 6

LCM(294,726) = 213444 / 6

LCM(294,726) = 35574


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 3840/294, 1322/726

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 3840/294, 1322/726?

Answer: GCF of Numerators as per given numbers 3840/294, 1322/726 is

GCF of Numerators i.e. for 3840,1322 is 2

LCM of denominators i.e. for 294,726 is 35574.

Thus, GCF of Fractions is 2/35574.Finally, GCF of Fractions for 3840/294, 1322/726 is 2/35574.