Greatest Common Factor of 1674/36, 3014/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1674/36, 3014/446

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 1674/36,3014/446

Given fractions are 1674/36,3014/446

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 1674,3014

Greatest Common Factor of Numerators i.e. GCF of 1674,3014 is 2 .

LCM of Denominators means LCM of 36,446 as per the given fractions.

LCM of 36,446 is 8028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1674,3014

GCF of Fractions 1674/36,3014/446 is 2/8028

2 1674, 3014
837, 1507

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

Greatest Common Factor of 1674,3014 By Matching Biggest Common Factor Method

Greatest Common Factor of 1674,3014 By Matching Biggest Common Factor Method

Factors of 1674

List of positive integer factors of 1674 that divides 1674 without a remainder.

1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674

Factors of 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1,2,11,22,137,274,1507,3014

Greatest Common Factor

We found the factors 1674,3014 . The biggest common factor number is the GCF number.
So the greatest common factor 1674,3014 is 2.

Lets's calculate LCM of 36,446

2 36, 446
18, 223

∴ So the LCM of the given numbers is 2 x 18 x 223 = 8028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8028

Therefore, the GCF of Fractions 1674/36,3014/446 is 2/8028

Least Common Multiple of 36,446 with GCF Formula

Least Common Multiple of 36,446 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 36,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,446) = 2

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

GCF(36,446) x common factors =2 x 1 = 2

LCM(36,446) = ( 36 × 446 ) / 2

LCM(36,446) = 16056 / 2

LCM(36,446) = 8028


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 1674/36, 3014/446

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 1674/36, 3014/446?

Answer: GCF of Numerators as per given numbers 1674/36, 3014/446 is

GCF of Numerators i.e. for 1674,3014 is 2

LCM of denominators i.e. for 36,446 is 8028.

Thus, GCF of Fractions is 2/8028.Finally, GCF of Fractions for 1674/36, 3014/446 is 2/8028.