Greatest Common Factor of 72/14, 552/23, 208/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/14, 552/23, 208/997

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 72/14,552/23,208/997

Given fractions are 72/14,552/23,208/997

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 72,552,208

Greatest Common Factor of Numerators i.e. GCF of 72,552,208 is 8 .

LCM of Denominators means LCM of 14,23,997 as per the given fractions.

LCM of 14,23,997 is 321034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,552,208

GCF of Fractions 72/14,552/23,208/997 is 8/321034

2 72, 552, 208
2 36, 276, 104
2 18, 138, 52
9, 69, 26

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 72,552,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,552,208 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 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 72,552,208 . The biggest common factor number is the GCF number.
So the greatest common factor 72,552,208 is 8.

Lets's calculate LCM of 14,23,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 321034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/321034

Therefore, the GCF of Fractions 72/14,552/23,208/997 is 8/321034

Least Common Multiple of 14,23,997 with GCF Formula

Least Common Multiple of 14,23,997 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 14,23,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,23,997) = 1

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

GCF(14,23,997) x common factors =1 x 1 = 1

LCM(14,23,997) = ( 14 × 23 × 997 ) / 1

LCM(14,23,997) = 321034 / 1

LCM(14,23,997) = 321034


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 72/14, 552/23, 208/997

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 72/14, 552/23, 208/997?

Answer: GCF of Numerators as per given numbers 72/14, 552/23, 208/997 is

GCF of Numerators i.e. for 72,552,208 is 8

LCM of denominators i.e. for 14,23,997 is 321034.

Thus, GCF of Fractions is 8/321034.Finally, GCF of Fractions for 72/14, 552/23, 208/997 is 8/321034.