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GCF of 923/222, 538/242

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 923/222, 538/242 i.e 1/26862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/222, 538/242.

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 923/222,538/242?

Given fractions are 923/222,538/242

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 923/222,538/242, numerators are 923,538

Denominators are 222,242

The GCF of 923,538 is 1 .

LCM of 222,242 is 26862.

The greatest common factor of 923/222,538/242 = [GCF of 923,538]/[LCM of 222,242]= 1/26862

Therefore, the GCF of 923/222,538/242 is 1/26862.

Greatest Common Factor of 923,538

To find the highest common factor of 923,538, we have to find the factors of both numbers and list the highest common factor.

The factors of 923 are 1, 13, 71, 923

The factors of 538 are 1, 2, 269, 538

The HCF of 923,538 is 1.

Lets's calculate GCF of 923,538

Greatest Common Factor (GCF) of 923,538 By Common Division

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

Greatest Common Factor of 923,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,538 By Matching Biggest Common Factor Method

Now, list down the factors of 923

:

1,13,71,923

Now, list down the factors of 538

:

1,2,269,538

Greatest Common Factor

We found the factors 923,538 . The biggest common factor number is the GCF number.
So the greatest common factor 923,538 is 1.

Lets's calculate LCM of 222,242

Lowest Common Multiple of 222,242 using Common Division

2 222, 242
111, 121

∴ So the LCM of the given numbers is 2 x 111 x 121 = 26862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26862

Therefore, the GCF of Fractions 923/222,538/242 is 1/26862

Least Common Multiple of 222,242 with GCF Formula

Least Common Multiple of 222,242 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 222,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,242) = 2

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

GCF(222,242) x common factors =2 x 1 = 2

LCM(222,242) = ( 222 × 242 ) / 2

LCM(222,242) = 53724 / 2

LCM(222,242) = 26862


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FAQs on GCF of Fractions of 923/222, 538/242

1. What is the HCF of 923,538?

The HCF of 923,538 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 923/222, 538/242?

Answer: GCF of Numerators as per given numbers 923/222, 538/242 is

GCF of Numerators i.e. for 923,538 is 1

LCM of denominators i.e. for 222,242 is 26862.

Thus, GCF of Fractions is 1/26862.Finally, GCF of Fractions for 923/222, 538/242 is 1/26862.