How to Find GCF of 20/397, 7170/9583?

GCF of 20/397, 7170/9583

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 20/397, 7170/9583 i.e 10/3804451 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/397, 7170/9583.

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 20/397,7170/9583?

Given fractions are 20/397,7170/9583

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 20/397,7170/9583, numerators are 20,7170

Denominators are 397,9583

The GCF of 20,7170 is 10 .

LCM of 397,9583 is 3804451.

The greatest common factor of 20/397,7170/9583 = [GCF of 20,7170]/[LCM of 397,9583]= 10/3804451

Therefore, the GCF of 20/397,7170/9583 is 10/3804451.

Greatest Common Factor of 20,7170

To find the highest common factor of 20,7170, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170

The HCF of 20,7170 is 10.

Lets's calculate GCF of 20,7170

Greatest Common Factor (GCF) of 20,7170 By Common Division

2	20, 7170
5	10, 3585
	2, 717

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 20,7170 By Matching Biggest Common Factor Method

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 7170

1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170

Greatest Common Factor

We found the factors 20,7170 . The biggest common factor number is the GCF number.
So the greatest common factor 20,7170 is 10.

Lets's calculate LCM of 397,9583

Lowest Common Multiple of 397,9583 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3804451

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3804451

Therefore, the GCF of Fractions 20/397,7170/9583 is 10/3804451

Least Common Multiple of 397,9583 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 397,9583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,9583) = 1

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

GCF(397,9583) x common factors =1 x 1 = 1

LCM(397,9583) = ( 397 × 9583 ) / 1

LCM(397,9583) = 3804451 / 1

LCM(397,9583) = 3804451

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FAQs on GCF of Fractions of 20/397, 7170/9583

1. What is the HCF of 20,7170?

The HCF of 20,7170 is 10

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 20/397, 7170/9583?

Answer: GCF of Numerators as per given numbers 20/397, 7170/9583 is

GCF of Numerators i.e. for 20,7170 is 10

LCM of denominators i.e. for 397,9583 is 3804451.

Thus, GCF of Fractions is 10/3804451.Finally, GCF of Fractions for 20/397, 7170/9583 is 10/3804451.