Greatest Common Factor of 226/83, 412/67, 116/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 226/83, 412/67, 116/276

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 226/83,412/67,116/276

Given fractions are 226/83,412/67,116/276

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 226,412,116

Greatest Common Factor of Numerators i.e. GCF of 226,412,116 is 2 .

LCM of Denominators means LCM of 83,67,276 as per the given fractions.

LCM of 83,67,276 is 1534836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 226,412,116

GCF of Fractions 226/83,412/67,116/276 is 2/1534836

2 226, 412, 116
113, 206, 58

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

Greatest Common Factor of 226,412,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,412,116 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 226,412,116 . The biggest common factor number is the GCF number.
So the greatest common factor 226,412,116 is 2.

Lets's calculate LCM of 83,67,276

Given numbers has no common factors except 1. So, there LCM is their product i.e 1534836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1534836

Therefore, the GCF of Fractions 226/83,412/67,116/276 is 2/1534836

Least Common Multiple of 83,67,276 with GCF Formula

Least Common Multiple of 83,67,276 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 83,67,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,67,276) = 1

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

GCF(83,67,276) x common factors =1 x 1 = 1

LCM(83,67,276) = ( 83 × 67 × 276 ) / 1

LCM(83,67,276) = 1534836 / 1

LCM(83,67,276) = 1534836


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 226/83, 412/67, 116/276

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 226/83, 412/67, 116/276?

Answer: GCF of Numerators as per given numbers 226/83, 412/67, 116/276 is

GCF of Numerators i.e. for 226,412,116 is 2

LCM of denominators i.e. for 83,67,276 is 1534836.

Thus, GCF of Fractions is 2/1534836.Finally, GCF of Fractions for 226/83, 412/67, 116/276 is 2/1534836.