Greatest Common Factor of 4228/745, 8012/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4228/745, 8012/170

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 4228/745,8012/170

Given fractions are 4228/745,8012/170

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 4228,8012

Greatest Common Factor of Numerators i.e. GCF of 4228,8012 is 4 .

LCM of Denominators means LCM of 745,170 as per the given fractions.

LCM of 745,170 is 25330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4228,8012

GCF of Fractions 4228/745,8012/170 is 4/25330

2 4228, 8012
2 2114, 4006
1057, 2003

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4228,8012 By Matching Biggest Common Factor Method

Greatest Common Factor of 4228,8012 By Matching Biggest Common Factor Method

Factors of 4228

List of positive integer factors of 4228 that divides 4228 without a remainder.

1,2,4,7,14,28,151,302,604,1057,2114,4228

Factors of 8012

List of positive integer factors of 8012 that divides 8012 without a remainder.

1,2,4,2003,4006,8012

Greatest Common Factor

We found the factors 4228,8012 . The biggest common factor number is the GCF number.
So the greatest common factor 4228,8012 is 4.

Lets's calculate LCM of 745,170

5 745, 170
149, 34

∴ So the LCM of the given numbers is 5 x 149 x 34 = 25330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/25330

Therefore, the GCF of Fractions 4228/745,8012/170 is 4/25330

Least Common Multiple of 745,170 with GCF Formula

Least Common Multiple of 745,170 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 745,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,170) = 5

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

GCF(745,170) x common factors =5 x 1 = 5

LCM(745,170) = ( 745 × 170 ) / 5

LCM(745,170) = 126650 / 5

LCM(745,170) = 25330


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 4228/745, 8012/170

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 4228/745, 8012/170?

Answer: GCF of Numerators as per given numbers 4228/745, 8012/170 is

GCF of Numerators i.e. for 4228,8012 is 4

LCM of denominators i.e. for 745,170 is 25330.

Thus, GCF of Fractions is 4/25330.Finally, GCF of Fractions for 4228/745, 8012/170 is 4/25330.