Greatest Common Factor of 72/68, 74/70, 69/30, 902/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/68, 74/70, 69/30, 902/48

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 72/68,74/70,69/30,902/48

Given fractions are 72/68,74/70,69/30,902/48

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 72,74,69,902

Greatest Common Factor of Numerators i.e. GCF of 72,74,69,902 is 1 .

LCM of Denominators means LCM of 68,70,30,48 as per the given fractions.

LCM of 68,70,30,48 is 28560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,74,69,902

GCF of Fractions 72/68,74/70,69/30,902/48 is 1/28560

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

Greatest Common Factor of 72,74,69,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,74,69,902 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 72,74,69,902 . The biggest common factor number is the GCF number.
So the greatest common factor 72,74,69,902 is 1.

Lets's calculate LCM of 68,70,30,48

2 68, 70, 30, 48
2 34, 35, 15, 24
3 17, 35, 15, 12
5 17, 35, 5, 4
17, 7, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 7 x 1 x 4 = 28560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28560

Therefore, the GCF of Fractions 72/68,74/70,69/30,902/48 is 1/28560

Least Common Multiple of 68,70,30,48 with GCF Formula

Least Common Multiple of 68,70,30,48 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 68,70,30,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,70,30,48) = 2

common factors(in case of two or more numbers have common factors) = 120

GCF(68,70,30,48) x common factors =2 x 120 = 240

LCM(68,70,30,48) = ( 68 × 70 × 30 × 48 ) / 240

LCM(68,70,30,48) = 6854400 / 240

LCM(68,70,30,48) = 28560


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 72/68, 74/70, 69/30, 902/48

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 72/68, 74/70, 69/30, 902/48?

Answer: GCF of Numerators as per given numbers 72/68, 74/70, 69/30, 902/48 is

GCF of Numerators i.e. for 72,74,69,902 is 1

LCM of denominators i.e. for 68,70,30,48 is 28560.

Thus, GCF of Fractions is 1/28560.Finally, GCF of Fractions for 72/68, 74/70, 69/30, 902/48 is 1/28560.