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GCF of 445/412, 1589/260

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 445/412, 1589/260 i.e 1/26780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/412, 1589/260.

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 445/412,1589/260?

Given fractions are 445/412,1589/260

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 445/412,1589/260, numerators are 445,1589

Denominators are 412,260

The GCF of 445,1589 is 1 .

LCM of 412,260 is 26780.

The greatest common factor of 445/412,1589/260 = [GCF of 445,1589]/[LCM of 412,260]= 1/26780

Therefore, the GCF of 445/412,1589/260 is 1/26780.

Greatest Common Factor of 445,1589

To find the highest common factor of 445,1589, we have to find the factors of both numbers and list the highest common factor.

The factors of 445 are 1, 5, 89, 445

The factors of 1589 are 1, 7, 227, 1589

The HCF of 445,1589 is 1.

Lets's calculate GCF of 445,1589

Greatest Common Factor (GCF) of 445,1589 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 445,1589 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,1589 By Matching Biggest Common Factor Method

Now, list down the factors of 445

:

1,5,89,445

Now, list down the factors of 1589

:

1,7,227,1589

Greatest Common Factor

We found the factors 445,1589 . The biggest common factor number is the GCF number.
So the greatest common factor 445,1589 is 1.

Lets's calculate LCM of 412,260

Lowest Common Multiple of 412,260 using Common Division

2 412, 260
2 206, 130
103, 65

∴ So the LCM of the given numbers is 2 x 2 x 103 x 65 = 26780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26780

Therefore, the GCF of Fractions 445/412,1589/260 is 1/26780

Least Common Multiple of 412,260 with GCF Formula

Least Common Multiple of 412,260 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 412,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,260) = 4

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

GCF(412,260) x common factors =4 x 1 = 4

LCM(412,260) = ( 412 × 260 ) / 4

LCM(412,260) = 107120 / 4

LCM(412,260) = 26780


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FAQs on GCF of Fractions of 445/412, 1589/260

1. What is the HCF of 445,1589?

The HCF of 445,1589 is 1

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 445/412, 1589/260?

Answer: GCF of Numerators as per given numbers 445/412, 1589/260 is

GCF of Numerators i.e. for 445,1589 is 1

LCM of denominators i.e. for 412,260 is 26780.

Thus, GCF of Fractions is 1/26780.Finally, GCF of Fractions for 445/412, 1589/260 is 1/26780.