LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 227/354, 300/108

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 227/354, 300/108 i.e 1/6372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/354, 300/108.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 227/354,300/108?

Given fractions are 227/354,300/108

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 227/354,300/108, numerators are 227,300

Denominators are 354,108

The GCF of 227,300 is 1 .

LCM of 354,108 is 6372.

The greatest common factor of 227/354,300/108 = [GCF of 227,300]/[LCM of 354,108]= 1/6372

Therefore, the GCF of 227/354,300/108 is 1/6372.

Greatest Common Factor of 227,300

To find the highest common factor of 227,300, we have to find the factors of both numbers and list the highest common factor.

The factors of 227 are 1, 227

The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The HCF of 227,300 is 1.

Lets's calculate GCF of 227,300

Greatest Common Factor (GCF) of 227,300 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 227,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,300 By Matching Biggest Common Factor Method

Now, list down the factors of 227

:

1,227

Now, list down the factors of 300

:

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 227,300 . The biggest common factor number is the GCF number.
So the greatest common factor 227,300 is 1.

Lets's calculate LCM of 354,108

Lowest Common Multiple of 354,108 using Common Division

2 354, 108
3 177, 54
59, 18

∴ So the LCM of the given numbers is 2 x 3 x 59 x 18 = 6372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6372

Therefore, the GCF of Fractions 227/354,300/108 is 1/6372

Least Common Multiple of 354,108 with GCF Formula

Least Common Multiple of 354,108 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 354,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,108) = 6

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

GCF(354,108) x common factors =6 x 1 = 6

LCM(354,108) = ( 354 × 108 ) / 6

LCM(354,108) = 38232 / 6

LCM(354,108) = 6372


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 227/354, 300/108

1. What is the HCF of 227,300?

The HCF of 227,300 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 227/354, 300/108?

Answer: GCF of Numerators as per given numbers 227/354, 300/108 is

GCF of Numerators i.e. for 227,300 is 1

LCM of denominators i.e. for 354,108 is 6372.

Thus, GCF of Fractions is 1/6372.Finally, GCF of Fractions for 227/354, 300/108 is 1/6372.