Greatest Common Factor of 3498/40, 4452/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3498/40, 4452/298

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 3498/40,4452/298

Given fractions are 3498/40,4452/298

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 3498,4452

Greatest Common Factor of Numerators i.e. GCF of 3498,4452 is 318 .

LCM of Denominators means LCM of 40,298 as per the given fractions.

LCM of 40,298 is 5960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3498,4452

GCF of Fractions 3498/40,4452/298 is 318/5960

2 3498, 4452
3 1749, 2226
53 583, 742
11, 14

∴ So the GCF of the given numbers is 2 x 3 x 53 = 318

Greatest Common Factor of 3498,4452 By Matching Biggest Common Factor Method

Greatest Common Factor of 3498,4452 By Matching Biggest Common Factor Method

Factors of 3498

List of positive integer factors of 3498 that divides 3498 without a remainder.

1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498

Factors of 4452

List of positive integer factors of 4452 that divides 4452 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452

Greatest Common Factor

We found the factors 3498,4452 . The biggest common factor number is the GCF number.
So the greatest common factor 3498,4452 is 318.

Lets's calculate LCM of 40,298

2 40, 298
20, 149

∴ So the LCM of the given numbers is 2 x 20 x 149 = 5960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 318/5960

Therefore, the GCF of Fractions 3498/40,4452/298 is 318/5960

Least Common Multiple of 40,298 with GCF Formula

Least Common Multiple of 40,298 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 40,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,298) = 2

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

GCF(40,298) x common factors =2 x 1 = 2

LCM(40,298) = ( 40 × 298 ) / 2

LCM(40,298) = 11920 / 2

LCM(40,298) = 5960


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 3498/40, 4452/298

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 3498/40, 4452/298?

Answer: GCF of Numerators as per given numbers 3498/40, 4452/298 is

GCF of Numerators i.e. for 3498,4452 is 318

LCM of denominators i.e. for 40,298 is 5960.

Thus, GCF of Fractions is 318/5960.Finally, GCF of Fractions for 3498/40, 4452/298 is 318/5960.