Greatest Common Factor of 1720/46, 3200/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1720/46, 3200/748

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 1720/46,3200/748

Given fractions are 1720/46,3200/748

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 1720,3200

Greatest Common Factor of Numerators i.e. GCF of 1720,3200 is 40 .

LCM of Denominators means LCM of 46,748 as per the given fractions.

LCM of 46,748 is 17204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1720,3200

GCF of Fractions 1720/46,3200/748 is 40/17204

2 1720, 3200
2 860, 1600
2 430, 800
5 215, 400
43, 80

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 1720,3200 By Matching Biggest Common Factor Method

Greatest Common Factor of 1720,3200 By Matching Biggest Common Factor Method

Factors of 1720

List of positive integer factors of 1720 that divides 1720 without a remainder.

1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720

Factors of 3200

List of positive integer factors of 3200 that divides 3200 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,320,400,640,800,1600,3200

Greatest Common Factor

We found the factors 1720,3200 . The biggest common factor number is the GCF number.
So the greatest common factor 1720,3200 is 40.

Lets's calculate LCM of 46,748

2 46, 748
23, 374

∴ So the LCM of the given numbers is 2 x 23 x 374 = 17204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/17204

Therefore, the GCF of Fractions 1720/46,3200/748 is 40/17204

Least Common Multiple of 46,748 with GCF Formula

Least Common Multiple of 46,748 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 46,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,748) = 2

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

GCF(46,748) x common factors =2 x 1 = 2

LCM(46,748) = ( 46 × 748 ) / 2

LCM(46,748) = 34408 / 2

LCM(46,748) = 17204


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 1720/46, 3200/748

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 1720/46, 3200/748?

Answer: GCF of Numerators as per given numbers 1720/46, 3200/748 is

GCF of Numerators i.e. for 1720,3200 is 40

LCM of denominators i.e. for 46,748 is 17204.

Thus, GCF of Fractions is 40/17204.Finally, GCF of Fractions for 1720/46, 3200/748 is 40/17204.