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GCF of 981/222, 222/227

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 981/222, 222/227 i.e 3/50394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 981/222, 222/227.

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 981/222,222/227?

Given fractions are 981/222,222/227

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 981/222,222/227, numerators are 981,222

Denominators are 222,227

The GCF of 981,222 is 3 .

LCM of 222,227 is 50394.

The greatest common factor of 981/222,222/227 = [GCF of 981,222]/[LCM of 222,227]= 3/50394

Therefore, the GCF of 981/222,222/227 is 3/50394.

Greatest Common Factor of 981,222

To find the highest common factor of 981,222, we have to find the factors of both numbers and list the highest common factor.

The factors of 981 are 1, 3, 9, 109, 327, 981

The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222

The HCF of 981,222 is 3.

Lets's calculate GCF of 981,222

Greatest Common Factor (GCF) of 981,222 By Common Division

3 981, 222
327, 74

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 981,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,222 By Matching Biggest Common Factor Method

Now, list down the factors of 981

:

1,3,9,109,327,981

Now, list down the factors of 222

:

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 981,222 . The biggest common factor number is the GCF number.
So the greatest common factor 981,222 is 3.

Lets's calculate LCM of 222,227

Lowest Common Multiple of 222,227 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 50394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50394

Therefore, the GCF of Fractions 981/222,222/227 is 3/50394

Least Common Multiple of 222,227 with GCF Formula

Least Common Multiple of 222,227 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 222,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,227) = 1

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

GCF(222,227) x common factors =1 x 1 = 1

LCM(222,227) = ( 222 × 227 ) / 1

LCM(222,227) = 50394 / 1

LCM(222,227) = 50394


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FAQs on GCF of Fractions of 981/222, 222/227

1. What is the HCF of 981,222?

The HCF of 981,222 is 3

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 981/222, 222/227?

Answer: GCF of Numerators as per given numbers 981/222, 222/227 is

GCF of Numerators i.e. for 981,222 is 3

LCM of denominators i.e. for 222,227 is 50394.

Thus, GCF of Fractions is 3/50394.Finally, GCF of Fractions for 981/222, 222/227 is 3/50394.