Greatest Common Factor of 3498/12, 1800/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3498/12, 1800/236

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 3498/12,1800/236

Given fractions are 3498/12,1800/236

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 3498,1800

Greatest Common Factor of Numerators i.e. GCF of 3498,1800 is 6 .

LCM of Denominators means LCM of 12,236 as per the given fractions.

LCM of 12,236 is 708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3498,1800

GCF of Fractions 3498/12,1800/236 is 6/708

2 3498, 1800
3 1749, 900
583, 300

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3498,1800 By Matching Biggest Common Factor Method

Greatest Common Factor of 3498,1800 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 1800

List of positive integer factors of 1800 that divides 1800 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800

Greatest Common Factor

We found the factors 3498,1800 . The biggest common factor number is the GCF number.
So the greatest common factor 3498,1800 is 6.

Lets's calculate LCM of 12,236

2 12, 236
2 6, 118
3, 59

∴ So the LCM of the given numbers is 2 x 2 x 3 x 59 = 708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/708

Therefore, the GCF of Fractions 3498/12,1800/236 is 6/708

Least Common Multiple of 12,236 with GCF Formula

Least Common Multiple of 12,236 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 12,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,236) = 4

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

GCF(12,236) x common factors =4 x 1 = 4

LCM(12,236) = ( 12 × 236 ) / 4

LCM(12,236) = 2832 / 4

LCM(12,236) = 708


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 3498/12, 1800/236

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 3498/12, 1800/236?

Answer: GCF of Numerators as per given numbers 3498/12, 1800/236 is

GCF of Numerators i.e. for 3498,1800 is 6

LCM of denominators i.e. for 12,236 is 708.

Thus, GCF of Fractions is 6/708.Finally, GCF of Fractions for 3498/12, 1800/236 is 6/708.