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GCF of 341/942, 233/159

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 341/942, 233/159 i.e 1/49926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/942, 233/159.

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 341/942,233/159?

Given fractions are 341/942,233/159

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 341/942,233/159, numerators are 341,233

Denominators are 942,159

The GCF of 341,233 is 1 .

LCM of 942,159 is 49926.

The greatest common factor of 341/942,233/159 = [GCF of 341,233]/[LCM of 942,159]= 1/49926

Therefore, the GCF of 341/942,233/159 is 1/49926.

Greatest Common Factor of 341,233

To find the highest common factor of 341,233, we have to find the factors of both numbers and list the highest common factor.

The factors of 341 are 1, 11, 31, 341

The factors of 233 are 1, 233

The HCF of 341,233 is 1.

Lets's calculate GCF of 341,233

Greatest Common Factor (GCF) of 341,233 By Common Division

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

Greatest Common Factor of 341,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,233 By Matching Biggest Common Factor Method

Now, list down the factors of 341

:

1,11,31,341

Now, list down the factors of 233

:

1,233

Greatest Common Factor

We found the factors 341,233 . The biggest common factor number is the GCF number.
So the greatest common factor 341,233 is 1.

Lets's calculate LCM of 942,159

Lowest Common Multiple of 942,159 using Common Division

3 942, 159
314, 53

∴ So the LCM of the given numbers is 3 x 314 x 53 = 49926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49926

Therefore, the GCF of Fractions 341/942,233/159 is 1/49926

Least Common Multiple of 942,159 with GCF Formula

Least Common Multiple of 942,159 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 942,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,159) = 3

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

GCF(942,159) x common factors =3 x 1 = 3

LCM(942,159) = ( 942 × 159 ) / 3

LCM(942,159) = 149778 / 3

LCM(942,159) = 49926


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FAQs on GCF of Fractions of 341/942, 233/159

1. What is the HCF of 341,233?

The HCF of 341,233 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 341/942, 233/159?

Answer: GCF of Numerators as per given numbers 341/942, 233/159 is

GCF of Numerators i.e. for 341,233 is 1

LCM of denominators i.e. for 942,159 is 49926.

Thus, GCF of Fractions is 1/49926.Finally, GCF of Fractions for 341/942, 233/159 is 1/49926.