Greatest Common Factor of 216/29, 1574/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 216/29, 1574/451

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 216/29,1574/451

Given fractions are 216/29,1574/451

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 216,1574

Greatest Common Factor of Numerators i.e. GCF of 216,1574 is 2 .

LCM of Denominators means LCM of 29,451 as per the given fractions.

LCM of 29,451 is 13079 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 216,1574

GCF of Fractions 216/29,1574/451 is 2/13079

2 216, 1574
108, 787

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

Greatest Common Factor of 216,1574 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,1574 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 1574

List of positive integer factors of 1574 that divides 1574 without a remainder.

1,2,787,1574

Greatest Common Factor

We found the factors 216,1574 . The biggest common factor number is the GCF number.
So the greatest common factor 216,1574 is 2.

Lets's calculate LCM of 29,451

Given numbers has no common factors except 1. So, there LCM is their product i.e 13079

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13079

Therefore, the GCF of Fractions 216/29,1574/451 is 2/13079

Least Common Multiple of 29,451 with GCF Formula

Least Common Multiple of 29,451 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 29,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,451) = 1

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

GCF(29,451) x common factors =1 x 1 = 1

LCM(29,451) = ( 29 × 451 ) / 1

LCM(29,451) = 13079 / 1

LCM(29,451) = 13079


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 216/29, 1574/451

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 216/29, 1574/451?

Answer: GCF of Numerators as per given numbers 216/29, 1574/451 is

GCF of Numerators i.e. for 216,1574 is 2

LCM of denominators i.e. for 29,451 is 13079.

Thus, GCF of Fractions is 2/13079.Finally, GCF of Fractions for 216/29, 1574/451 is 2/13079.