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GCF of 570/463, 213/650

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 570/463, 213/650 i.e 3/300950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/463, 213/650.

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 570/463,213/650?

Given fractions are 570/463,213/650

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 570/463,213/650, numerators are 570,213

Denominators are 463,650

The GCF of 570,213 is 3 .

LCM of 463,650 is 300950.

The greatest common factor of 570/463,213/650 = [GCF of 570,213]/[LCM of 463,650]= 3/300950

Therefore, the GCF of 570/463,213/650 is 3/300950.

Greatest Common Factor of 570,213

To find the highest common factor of 570,213, we have to find the factors of both numbers and list the highest common factor.

The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

The factors of 213 are 1, 3, 71, 213

The HCF of 570,213 is 3.

Lets's calculate GCF of 570,213

Greatest Common Factor (GCF) of 570,213 By Common Division

3 570, 213
190, 71

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 570,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,213 By Matching Biggest Common Factor Method

Now, list down the factors of 570

:

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Now, list down the factors of 213

:

1,3,71,213

Greatest Common Factor

We found the factors 570,213 . The biggest common factor number is the GCF number.
So the greatest common factor 570,213 is 3.

Lets's calculate LCM of 463,650

Lowest Common Multiple of 463,650 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 300950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/300950

Therefore, the GCF of Fractions 570/463,213/650 is 3/300950

Least Common Multiple of 463,650 with GCF Formula

Least Common Multiple of 463,650 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 463,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,650) = 1

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

GCF(463,650) x common factors =1 x 1 = 1

LCM(463,650) = ( 463 × 650 ) / 1

LCM(463,650) = 300950 / 1

LCM(463,650) = 300950


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FAQs on GCF of Fractions of 570/463, 213/650

1. What is the HCF of 570,213?

The HCF of 570,213 is 3

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 570/463, 213/650?

Answer: GCF of Numerators as per given numbers 570/463, 213/650 is

GCF of Numerators i.e. for 570,213 is 3

LCM of denominators i.e. for 463,650 is 300950.

Thus, GCF of Fractions is 3/300950.Finally, GCF of Fractions for 570/463, 213/650 is 3/300950.