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GCF of 164/203, 938/514

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 164/203, 938/514 i.e 2/104342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 164/203, 938/514.

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 164/203,938/514?

Given fractions are 164/203,938/514

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 164/203,938/514, numerators are 164,938

Denominators are 203,514

The GCF of 164,938 is 2 .

LCM of 203,514 is 104342.

The greatest common factor of 164/203,938/514 = [GCF of 164,938]/[LCM of 203,514]= 2/104342

Therefore, the GCF of 164/203,938/514 is 2/104342.

Greatest Common Factor of 164,938

To find the highest common factor of 164,938, we have to find the factors of both numbers and list the highest common factor.

The factors of 164 are 1, 2, 4, 41, 82, 164

The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938

The HCF of 164,938 is 2.

Lets's calculate GCF of 164,938

Greatest Common Factor (GCF) of 164,938 By Common Division

2 164, 938
82, 469

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 164,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,938 By Matching Biggest Common Factor Method

Now, list down the factors of 164

:

1,2,4,41,82,164

Now, list down the factors of 938

:

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 164,938 . The biggest common factor number is the GCF number.
So the greatest common factor 164,938 is 2.

Lets's calculate LCM of 203,514

Lowest Common Multiple of 203,514 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 104342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104342

Therefore, the GCF of Fractions 164/203,938/514 is 2/104342

Least Common Multiple of 203,514 with GCF Formula

Least Common Multiple of 203,514 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 203,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,514) = 1

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

GCF(203,514) x common factors =1 x 1 = 1

LCM(203,514) = ( 203 × 514 ) / 1

LCM(203,514) = 104342 / 1

LCM(203,514) = 104342


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FAQs on GCF of Fractions of 164/203, 938/514

1. What is the HCF of 164,938?

The HCF of 164,938 is 2

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 164/203, 938/514?

Answer: GCF of Numerators as per given numbers 164/203, 938/514 is

GCF of Numerators i.e. for 164,938 is 2

LCM of denominators i.e. for 203,514 is 104342.

Thus, GCF of Fractions is 2/104342.Finally, GCF of Fractions for 164/203, 938/514 is 2/104342.