Greatest Common Factor of 3/44, 37/18, 46/446, 553/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/44, 37/18, 46/446, 553/645

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 3/44,37/18,46/446,553/645

Given fractions are 3/44,37/18,46/446,553/645

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 3,37,46,553

Greatest Common Factor of Numerators i.e. GCF of 3,37,46,553 is 1 .

LCM of Denominators means LCM of 44,18,446,645 as per the given fractions.

LCM of 44,18,446,645 is 18986220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,37,46,553

GCF of Fractions 3/44,37/18,46/446,553/645 is 1/18986220

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

Greatest Common Factor of 3,37,46,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,37,46,553 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 3,37,46,553 . The biggest common factor number is the GCF number.
So the greatest common factor 3,37,46,553 is 1.

Lets's calculate LCM of 44,18,446,645

2 44, 18, 446, 645
3 22, 9, 223, 645
22, 3, 223, 215

∴ So the LCM of the given numbers is 2 x 3 x 22 x 3 x 223 x 215 = 18986220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18986220

Therefore, the GCF of Fractions 3/44,37/18,46/446,553/645 is 1/18986220

Least Common Multiple of 44,18,446,645 with GCF Formula

Least Common Multiple of 44,18,446,645 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 44,18,446,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,18,446,645) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(44,18,446,645) x common factors =1 x 12 = 12

LCM(44,18,446,645) = ( 44 × 18 × 446 × 645 ) / 12

LCM(44,18,446,645) = 227834640 / 12

LCM(44,18,446,645) = 18986220


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 3/44, 37/18, 46/446, 553/645

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 3/44, 37/18, 46/446, 553/645?

Answer: GCF of Numerators as per given numbers 3/44, 37/18, 46/446, 553/645 is

GCF of Numerators i.e. for 3,37,46,553 is 1

LCM of denominators i.e. for 44,18,446,645 is 18986220.

Thus, GCF of Fractions is 1/18986220.Finally, GCF of Fractions for 3/44, 37/18, 46/446, 553/645 is 1/18986220.