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GCF of 164/95, 590/1749

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 164/95, 590/1749 i.e 2/166155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 164/95, 590/1749.

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 164/95,590/1749?

Given fractions are 164/95,590/1749

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 164/95,590/1749, numerators are 164,590

Denominators are 95,1749

The GCF of 164,590 is 2 .

LCM of 95,1749 is 166155.

The greatest common factor of 164/95,590/1749 = [GCF of 164,590]/[LCM of 95,1749]= 2/166155

Therefore, the GCF of 164/95,590/1749 is 2/166155.

Greatest Common Factor of 164,590

To find the highest common factor of 164,590, 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 590 are 1, 2, 5, 10, 59, 118, 295, 590

The HCF of 164,590 is 2.

Lets's calculate GCF of 164,590

Greatest Common Factor (GCF) of 164,590 By Common Division

2 164, 590
82, 295

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

Greatest Common Factor of 164,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,590 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 590

:

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

Greatest Common Factor

We found the factors 164,590 . The biggest common factor number is the GCF number.
So the greatest common factor 164,590 is 2.

Lets's calculate LCM of 95,1749

Lowest Common Multiple of 95,1749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 166155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166155

Therefore, the GCF of Fractions 164/95,590/1749 is 2/166155

Least Common Multiple of 95,1749 with GCF Formula

Least Common Multiple of 95,1749 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 95,1749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,1749) = 1

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

GCF(95,1749) x common factors =1 x 1 = 1

LCM(95,1749) = ( 95 × 1749 ) / 1

LCM(95,1749) = 166155 / 1

LCM(95,1749) = 166155


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FAQs on GCF of Fractions of 164/95, 590/1749

1. What is the HCF of 164,590?

The HCF of 164,590 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 164/95, 590/1749?

Answer: GCF of Numerators as per given numbers 164/95, 590/1749 is

GCF of Numerators i.e. for 164,590 is 2

LCM of denominators i.e. for 95,1749 is 166155.

Thus, GCF of Fractions is 2/166155.Finally, GCF of Fractions for 164/95, 590/1749 is 2/166155.