How to Find GCF of 566/45, 945/3630?

GCF of 566/45, 945/3630

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 566/45, 945/3630 i.e 1/10890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/45, 945/3630.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 566/45,945/3630?

Given fractions are 566/45,945/3630

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 566/45,945/3630, numerators are 566,945

Denominators are 45,3630

The GCF of 566,945 is 1 .

LCM of 45,3630 is 10890.

The greatest common factor of 566/45,945/3630 = [GCF of 566,945]/[LCM of 45,3630]= 1/10890

Therefore, the GCF of 566/45,945/3630 is 1/10890.

Greatest Common Factor of 566,945

To find the highest common factor of 566,945, we have to find the factors of both numbers and list the highest common factor.

The factors of 566 are 1, 2, 283, 566

The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

The HCF of 566,945 is 1.

Lets's calculate GCF of 566,945

Greatest Common Factor (GCF) of 566,945 By Common Division

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

Greatest Common Factor of 566,945 By Matching Biggest Common Factor Method

Now, list down the factors of 566

1,2,283,566

Now, list down the factors of 945

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 566,945 . The biggest common factor number is the GCF number.
So the greatest common factor 566,945 is 1.

Lets's calculate LCM of 45,3630

Lowest Common Multiple of 45,3630 using Common Division

3	45, 3630
5	15, 1210
	3, 242

∴ So the LCM of the given numbers is 3 x 5 x 3 x 242 = 10890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10890

Therefore, the GCF of Fractions 566/45,945/3630 is 1/10890

Least Common Multiple of 45,3630 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 45,3630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3630) = 15

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

GCF(45,3630) x common factors =15 x 1 = 15

LCM(45,3630) = ( 45 × 3630 ) / 15

LCM(45,3630) = 163350 / 15

LCM(45,3630) = 10890

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FAQs on GCF of Fractions of 566/45, 945/3630

1. What is the HCF of 566,945?

The HCF of 566,945 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 566/45, 945/3630?

Answer: GCF of Numerators as per given numbers 566/45, 945/3630 is

GCF of Numerators i.e. for 566,945 is 1

LCM of denominators i.e. for 45,3630 is 10890.

Thus, GCF of Fractions is 1/10890.Finally, GCF of Fractions for 566/45, 945/3630 is 1/10890.