Greatest Common Factor of 44/20, 70/55, 67/99, 39/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/20, 70/55, 67/99, 39/408

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 44/20,70/55,67/99,39/408

Given fractions are 44/20,70/55,67/99,39/408

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 44,70,67,39

Greatest Common Factor of Numerators i.e. GCF of 44,70,67,39 is 1 .

LCM of Denominators means LCM of 20,55,99,408 as per the given fractions.

LCM of 20,55,99,408 is 67320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,70,67,39

GCF of Fractions 44/20,70/55,67/99,39/408 is 1/67320

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

Greatest Common Factor of 44,70,67,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,70,67,39 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 44,70,67,39 . The biggest common factor number is the GCF number.
So the greatest common factor 44,70,67,39 is 1.

Lets's calculate LCM of 20,55,99,408

2 20, 55, 99, 408
2 10, 55, 99, 204
3 5, 55, 99, 102
5 5, 55, 33, 34
11 1, 11, 33, 34
1, 1, 3, 34

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 1 x 1 x 3 x 34 = 67320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67320

Therefore, the GCF of Fractions 44/20,70/55,67/99,39/408 is 1/67320

Least Common Multiple of 20,55,99,408 with GCF Formula

Least Common Multiple of 20,55,99,408 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 20,55,99,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,55,99,408) = 1

common factors(in case of two or more numbers have common factors) = 660

GCF(20,55,99,408) x common factors =1 x 660 = 660

LCM(20,55,99,408) = ( 20 × 55 × 99 × 408 ) / 660

LCM(20,55,99,408) = 44431200 / 660

LCM(20,55,99,408) = 67320


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 44/20, 70/55, 67/99, 39/408

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 44/20, 70/55, 67/99, 39/408?

Answer: GCF of Numerators as per given numbers 44/20, 70/55, 67/99, 39/408 is

GCF of Numerators i.e. for 44,70,67,39 is 1

LCM of denominators i.e. for 20,55,99,408 is 67320.

Thus, GCF of Fractions is 1/67320.Finally, GCF of Fractions for 44/20, 70/55, 67/99, 39/408 is 1/67320.