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GCF of 227/89, 309/352

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 227/89, 309/352 i.e 1/31328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/89, 309/352.

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 227/89,309/352?

Given fractions are 227/89,309/352

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 227/89,309/352, numerators are 227,309

Denominators are 89,352

The GCF of 227,309 is 1 .

LCM of 89,352 is 31328.

The greatest common factor of 227/89,309/352 = [GCF of 227,309]/[LCM of 89,352]= 1/31328

Therefore, the GCF of 227/89,309/352 is 1/31328.

Greatest Common Factor of 227,309

To find the highest common factor of 227,309, 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 309 are 1, 3, 103, 309

The HCF of 227,309 is 1.

Lets's calculate GCF of 227,309

Greatest Common Factor (GCF) of 227,309 By Common Division

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

Greatest Common Factor of 227,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,309 By Matching Biggest Common Factor Method

Now, list down the factors of 227

:

1,227

Now, list down the factors of 309

:

1,3,103,309

Greatest Common Factor

We found the factors 227,309 . The biggest common factor number is the GCF number.
So the greatest common factor 227,309 is 1.

Lets's calculate LCM of 89,352

Lowest Common Multiple of 89,352 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 31328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31328

Therefore, the GCF of Fractions 227/89,309/352 is 1/31328

Least Common Multiple of 89,352 with GCF Formula

Least Common Multiple of 89,352 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 89,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,352) = 1

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

GCF(89,352) x common factors =1 x 1 = 1

LCM(89,352) = ( 89 × 352 ) / 1

LCM(89,352) = 31328 / 1

LCM(89,352) = 31328


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FAQs on GCF of Fractions of 227/89, 309/352

1. What is the HCF of 227,309?

The HCF of 227,309 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 227/89, 309/352?

Answer: GCF of Numerators as per given numbers 227/89, 309/352 is

GCF of Numerators i.e. for 227,309 is 1

LCM of denominators i.e. for 89,352 is 31328.

Thus, GCF of Fractions is 1/31328.Finally, GCF of Fractions for 227/89, 309/352 is 1/31328.