Greatest Common Factor of 16/25, 306/42, 808/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/25, 306/42, 808/89

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 16/25,306/42,808/89

Given fractions are 16/25,306/42,808/89

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 16,306,808

Greatest Common Factor of Numerators i.e. GCF of 16,306,808 is 2 .

LCM of Denominators means LCM of 25,42,89 as per the given fractions.

LCM of 25,42,89 is 93450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,306,808

GCF of Fractions 16/25,306/42,808/89 is 2/93450

2 16, 306, 808
8, 153, 404

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

Greatest Common Factor of 16,306,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,306,808 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 16,306,808 . The biggest common factor number is the GCF number.
So the greatest common factor 16,306,808 is 2.

Lets's calculate LCM of 25,42,89

Given numbers has no common factors except 1. So, there LCM is their product i.e 93450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93450

Therefore, the GCF of Fractions 16/25,306/42,808/89 is 2/93450

Least Common Multiple of 25,42,89 with GCF Formula

Least Common Multiple of 25,42,89 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 25,42,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,42,89) = 1

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

GCF(25,42,89) x common factors =1 x 1 = 1

LCM(25,42,89) = ( 25 × 42 × 89 ) / 1

LCM(25,42,89) = 93450 / 1

LCM(25,42,89) = 93450


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 16/25, 306/42, 808/89

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 16/25, 306/42, 808/89?

Answer: GCF of Numerators as per given numbers 16/25, 306/42, 808/89 is

GCF of Numerators i.e. for 16,306,808 is 2

LCM of denominators i.e. for 25,42,89 is 93450.

Thus, GCF of Fractions is 2/93450.Finally, GCF of Fractions for 16/25, 306/42, 808/89 is 2/93450.