Greatest Common Factor of 26/465, 166/872, 208/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/465, 166/872, 208/469

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 26/465,166/872,208/469

Given fractions are 26/465,166/872,208/469

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 26,166,208

Greatest Common Factor of Numerators i.e. GCF of 26,166,208 is 2 .

LCM of Denominators means LCM of 465,872,469 as per the given fractions.

LCM of 465,872,469 is 190170120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,166,208

GCF of Fractions 26/465,166/872,208/469 is 2/190170120

2 26, 166, 208
13, 83, 104

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

Greatest Common Factor of 26,166,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,166,208 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

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 26,166,208 . The biggest common factor number is the GCF number.
So the greatest common factor 26,166,208 is 2.

Lets's calculate LCM of 465,872,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 190170120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/190170120

Therefore, the GCF of Fractions 26/465,166/872,208/469 is 2/190170120

Least Common Multiple of 465,872,469 with GCF Formula

Least Common Multiple of 465,872,469 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 465,872,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,872,469) = 1

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

GCF(465,872,469) x common factors =1 x 1 = 1

LCM(465,872,469) = ( 465 × 872 × 469 ) / 1

LCM(465,872,469) = 190170120 / 1

LCM(465,872,469) = 190170120


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 26/465, 166/872, 208/469

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 26/465, 166/872, 208/469?

Answer: GCF of Numerators as per given numbers 26/465, 166/872, 208/469 is

GCF of Numerators i.e. for 26,166,208 is 2

LCM of denominators i.e. for 465,872,469 is 190170120.

Thus, GCF of Fractions is 2/190170120.Finally, GCF of Fractions for 26/465, 166/872, 208/469 is 2/190170120.