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GCF of 590/287, 232/174

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 590/287, 232/174 i.e 2/49938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/287, 232/174.

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 590/287,232/174?

Given fractions are 590/287,232/174

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 590/287,232/174, numerators are 590,232

Denominators are 287,174

The GCF of 590,232 is 2 .

LCM of 287,174 is 49938.

The greatest common factor of 590/287,232/174 = [GCF of 590,232]/[LCM of 287,174]= 2/49938

Therefore, the GCF of 590/287,232/174 is 2/49938.

Greatest Common Factor of 590,232

To find the highest common factor of 590,232, we have to find the factors of both numbers and list the highest common factor.

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590

The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232

The HCF of 590,232 is 2.

Lets's calculate GCF of 590,232

Greatest Common Factor (GCF) of 590,232 By Common Division

2 590, 232
295, 116

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

Greatest Common Factor of 590,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,232 By Matching Biggest Common Factor Method

Now, list down the factors of 590

:

1,2,5,10,59,118,295,590

Now, list down the factors of 232

:

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 590,232 . The biggest common factor number is the GCF number.
So the greatest common factor 590,232 is 2.

Lets's calculate LCM of 287,174

Lowest Common Multiple of 287,174 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 49938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49938

Therefore, the GCF of Fractions 590/287,232/174 is 2/49938

Least Common Multiple of 287,174 with GCF Formula

Least Common Multiple of 287,174 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 287,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,174) = 1

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

GCF(287,174) x common factors =1 x 1 = 1

LCM(287,174) = ( 287 × 174 ) / 1

LCM(287,174) = 49938 / 1

LCM(287,174) = 49938


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FAQs on GCF of Fractions of 590/287, 232/174

1. What is the HCF of 590,232?

The HCF of 590,232 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 590/287, 232/174?

Answer: GCF of Numerators as per given numbers 590/287, 232/174 is

GCF of Numerators i.e. for 590,232 is 2

LCM of denominators i.e. for 287,174 is 49938.

Thus, GCF of Fractions is 2/49938.Finally, GCF of Fractions for 590/287, 232/174 is 2/49938.