Greatest Common Factor of 64/74, 78/45, 34/47, 22/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/74, 78/45, 34/47, 22/120

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 64/74,78/45,34/47,22/120

Given fractions are 64/74,78/45,34/47,22/120

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 64,78,34,22

Greatest Common Factor of Numerators i.e. GCF of 64,78,34,22 is 2 .

LCM of Denominators means LCM of 74,45,47,120 as per the given fractions.

LCM of 74,45,47,120 is 626040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,78,34,22

GCF of Fractions 64/74,78/45,34/47,22/120 is 2/626040

2 64, 78, 34, 22
32, 39, 17, 11

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

Greatest Common Factor of 64,78,34,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,78,34,22 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors 64,78,34,22 . The biggest common factor number is the GCF number.
So the greatest common factor 64,78,34,22 is 2.

Lets's calculate LCM of 74,45,47,120

2 74, 45, 47, 120
3 37, 45, 47, 60
5 37, 15, 47, 20
37, 3, 47, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 37 x 3 x 47 x 4 = 626040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/626040

Therefore, the GCF of Fractions 64/74,78/45,34/47,22/120 is 2/626040

Least Common Multiple of 74,45,47,120 with GCF Formula

Least Common Multiple of 74,45,47,120 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 74,45,47,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,45,47,120) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(74,45,47,120) x common factors =1 x 30 = 30

LCM(74,45,47,120) = ( 74 × 45 × 47 × 120 ) / 30

LCM(74,45,47,120) = 18781200 / 30

LCM(74,45,47,120) = 626040


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 64/74, 78/45, 34/47, 22/120

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 64/74, 78/45, 34/47, 22/120?

Answer: GCF of Numerators as per given numbers 64/74, 78/45, 34/47, 22/120 is

GCF of Numerators i.e. for 64,78,34,22 is 2

LCM of denominators i.e. for 74,45,47,120 is 626040.

Thus, GCF of Fractions is 2/626040.Finally, GCF of Fractions for 64/74, 78/45, 34/47, 22/120 is 2/626040.