LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 590/265, 3644/505

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 590/265, 3644/505 i.e 2/26765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/265, 3644/505.

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 590/265,3644/505?

Given fractions are 590/265,3644/505

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 590/265,3644/505, numerators are 590,3644

Denominators are 265,505

The GCF of 590,3644 is 2 .

LCM of 265,505 is 26765.

The greatest common factor of 590/265,3644/505 = [GCF of 590,3644]/[LCM of 265,505]= 2/26765

Therefore, the GCF of 590/265,3644/505 is 2/26765.

Greatest Common Factor of 590,3644

To find the highest common factor of 590,3644, 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 3644 are 1, 2, 4, 911, 1822, 3644

The HCF of 590,3644 is 2.

Lets's calculate GCF of 590,3644

Greatest Common Factor (GCF) of 590,3644 By Common Division

2 590, 3644
295, 1822

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

Greatest Common Factor of 590,3644 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,3644 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 3644

:

1,2,4,911,1822,3644

Greatest Common Factor

We found the factors 590,3644 . The biggest common factor number is the GCF number.
So the greatest common factor 590,3644 is 2.

Lets's calculate LCM of 265,505

Lowest Common Multiple of 265,505 using Common Division

5 265, 505
53, 101

∴ So the LCM of the given numbers is 5 x 53 x 101 = 26765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26765

Therefore, the GCF of Fractions 590/265,3644/505 is 2/26765

Least Common Multiple of 265,505 with GCF Formula

Least Common Multiple of 265,505 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 265,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,505) = 5

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

GCF(265,505) x common factors =5 x 1 = 5

LCM(265,505) = ( 265 × 505 ) / 5

LCM(265,505) = 133825 / 5

LCM(265,505) = 26765


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 590/265, 3644/505

1. What is the HCF of 590,3644?

The HCF of 590,3644 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 590/265, 3644/505?

Answer: GCF of Numerators as per given numbers 590/265, 3644/505 is

GCF of Numerators i.e. for 590,3644 is 2

LCM of denominators i.e. for 265,505 is 26765.

Thus, GCF of Fractions is 2/26765.Finally, GCF of Fractions for 590/265, 3644/505 is 2/26765.