Greatest Common Factor of 3440/758, 4272/4789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3440/758, 4272/4789

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 3440/758,4272/4789

Given fractions are 3440/758,4272/4789

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 3440,4272

Greatest Common Factor of Numerators i.e. GCF of 3440,4272 is 16 .

LCM of Denominators means LCM of 758,4789 as per the given fractions.

LCM of 758,4789 is 3630062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3440,4272

GCF of Fractions 3440/758,4272/4789 is 16/3630062

2 3440, 4272
2 1720, 2136
2 860, 1068
2 430, 534
215, 267

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 3440,4272 By Matching Biggest Common Factor Method

Greatest Common Factor of 3440,4272 By Matching Biggest Common Factor Method

Factors of 3440

List of positive integer factors of 3440 that divides 3440 without a remainder.

1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440

Factors of 4272

List of positive integer factors of 4272 that divides 4272 without a remainder.

1,2,3,4,6,8,12,16,24,48,89,178,267,356,534,712,1068,1424,2136,4272

Greatest Common Factor

We found the factors 3440,4272 . The biggest common factor number is the GCF number.
So the greatest common factor 3440,4272 is 16.

Lets's calculate LCM of 758,4789

Given numbers has no common factors except 1. So, there LCM is their product i.e 3630062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3630062

Therefore, the GCF of Fractions 3440/758,4272/4789 is 16/3630062

Least Common Multiple of 758,4789 with GCF Formula

Least Common Multiple of 758,4789 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 758,4789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,4789) = 1

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

GCF(758,4789) x common factors =1 x 1 = 1

LCM(758,4789) = ( 758 × 4789 ) / 1

LCM(758,4789) = 3630062 / 1

LCM(758,4789) = 3630062


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 3440/758, 4272/4789

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 3440/758, 4272/4789?

Answer: GCF of Numerators as per given numbers 3440/758, 4272/4789 is

GCF of Numerators i.e. for 3440,4272 is 16

LCM of denominators i.e. for 758,4789 is 3630062.

Thus, GCF of Fractions is 16/3630062.Finally, GCF of Fractions for 3440/758, 4272/4789 is 16/3630062.