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GCF of 334/942, 167/174

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 334/942, 167/174 i.e 167/27318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 334/942, 167/174.

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 334/942,167/174?

Given fractions are 334/942,167/174

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 334/942,167/174, numerators are 334,167

Denominators are 942,174

The GCF of 334,167 is 167 .

LCM of 942,174 is 27318.

The greatest common factor of 334/942,167/174 = [GCF of 334,167]/[LCM of 942,174]= 167/27318

Therefore, the GCF of 334/942,167/174 is 167/27318.

Greatest Common Factor of 334,167

To find the highest common factor of 334,167, we have to find the factors of both numbers and list the highest common factor.

The factors of 334 are 1, 2, 167, 334

The factors of 167 are 1, 167

The HCF of 334,167 is 167.

Lets's calculate GCF of 334,167

Greatest Common Factor (GCF) of 334,167 By Common Division

167 334, 167
2, 1

∴ So the GCF of the given numbers is 167 = 167

Greatest Common Factor of 334,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,167 By Matching Biggest Common Factor Method

Now, list down the factors of 334

:

1,2,167,334

Now, list down the factors of 167

:

1,167

Greatest Common Factor

We found the factors 334,167 . The biggest common factor number is the GCF number.
So the greatest common factor 334,167 is 167.

Lets's calculate LCM of 942,174

Lowest Common Multiple of 942,174 using Common Division

2 942, 174
3 471, 87
157, 29

∴ So the LCM of the given numbers is 2 x 3 x 157 x 29 = 27318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 167/27318

Therefore, the GCF of Fractions 334/942,167/174 is 167/27318

Least Common Multiple of 942,174 with GCF Formula

Least Common Multiple of 942,174 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 942,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,174) = 6

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

GCF(942,174) x common factors =6 x 1 = 6

LCM(942,174) = ( 942 × 174 ) / 6

LCM(942,174) = 163908 / 6

LCM(942,174) = 27318


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FAQs on GCF of Fractions of 334/942, 167/174

1. What is the HCF of 334,167?

The HCF of 334,167 is 167

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 334/942, 167/174?

Answer: GCF of Numerators as per given numbers 334/942, 167/174 is

GCF of Numerators i.e. for 334,167 is 167

LCM of denominators i.e. for 942,174 is 27318.

Thus, GCF of Fractions is 167/27318.Finally, GCF of Fractions for 334/942, 167/174 is 167/27318.