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GCF of 182/942, 227/943

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 182/942, 227/943 i.e 1/888306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 182/942, 227/943.

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 182/942,227/943?

Given fractions are 182/942,227/943

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 182/942,227/943, numerators are 182,227

Denominators are 942,943

The GCF of 182,227 is 1 .

LCM of 942,943 is 888306.

The greatest common factor of 182/942,227/943 = [GCF of 182,227]/[LCM of 942,943]= 1/888306

Therefore, the GCF of 182/942,227/943 is 1/888306.

Greatest Common Factor of 182,227

To find the highest common factor of 182,227, we have to find the factors of both numbers and list the highest common factor.

The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182

The factors of 227 are 1, 227

The HCF of 182,227 is 1.

Lets's calculate GCF of 182,227

Greatest Common Factor (GCF) of 182,227 By Common Division

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

Greatest Common Factor of 182,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,227 By Matching Biggest Common Factor Method

Now, list down the factors of 182

:

1,2,7,13,14,26,91,182

Now, list down the factors of 227

:

1,227

Greatest Common Factor

We found the factors 182,227 . The biggest common factor number is the GCF number.
So the greatest common factor 182,227 is 1.

Lets's calculate LCM of 942,943

Lowest Common Multiple of 942,943 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 888306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/888306

Therefore, the GCF of Fractions 182/942,227/943 is 1/888306

Least Common Multiple of 942,943 with GCF Formula

Least Common Multiple of 942,943 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 942,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,943) = 1

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

GCF(942,943) x common factors =1 x 1 = 1

LCM(942,943) = ( 942 × 943 ) / 1

LCM(942,943) = 888306 / 1

LCM(942,943) = 888306


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FAQs on GCF of Fractions of 182/942, 227/943

1. What is the HCF of 182,227?

The HCF of 182,227 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 182/942, 227/943?

Answer: GCF of Numerators as per given numbers 182/942, 227/943 is

GCF of Numerators i.e. for 182,227 is 1

LCM of denominators i.e. for 942,943 is 888306.

Thus, GCF of Fractions is 1/888306.Finally, GCF of Fractions for 182/942, 227/943 is 1/888306.