Greatest Common Factor of 3488/39, 4233/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3488/39, 4233/457

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 3488/39,4233/457

Given fractions are 3488/39,4233/457

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 3488,4233

Greatest Common Factor of Numerators i.e. GCF of 3488,4233 is 1 .

LCM of Denominators means LCM of 39,457 as per the given fractions.

LCM of 39,457 is 17823 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3488,4233

GCF of Fractions 3488/39,4233/457 is 1/17823

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

Greatest Common Factor of 3488,4233 By Matching Biggest Common Factor Method

Greatest Common Factor of 3488,4233 By Matching Biggest Common Factor Method

Factors of 3488

List of positive integer factors of 3488 that divides 3488 without a remainder.

1,2,4,8,16,32,109,218,436,872,1744,3488

Factors of 4233

List of positive integer factors of 4233 that divides 4233 without a remainder.

1,3,17,51,83,249,1411,4233

Greatest Common Factor

We found the factors 3488,4233 . The biggest common factor number is the GCF number.
So the greatest common factor 3488,4233 is 1.

Lets's calculate LCM of 39,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 17823

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17823

Therefore, the GCF of Fractions 3488/39,4233/457 is 1/17823

Least Common Multiple of 39,457 with GCF Formula

Least Common Multiple of 39,457 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 39,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,457) = 1

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

GCF(39,457) x common factors =1 x 1 = 1

LCM(39,457) = ( 39 × 457 ) / 1

LCM(39,457) = 17823 / 1

LCM(39,457) = 17823


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 3488/39, 4233/457

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 3488/39, 4233/457?

Answer: GCF of Numerators as per given numbers 3488/39, 4233/457 is

GCF of Numerators i.e. for 3488,4233 is 1

LCM of denominators i.e. for 39,457 is 17823.

Thus, GCF of Fractions is 1/17823.Finally, GCF of Fractions for 3488/39, 4233/457 is 1/17823.