How to Find GCF of 620/23, 561/76, 288/17?

GCF of 620/23, 561/76, 288/17

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 620/23, 561/76, 288/17 i.e 1/29716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 620/23, 561/76, 288/17.

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 620/23,561/76,288/17?

Given fractions are 620/23,561/76,288/17

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 620/23,561/76,288/17, numerators are 620,561,288

Denominators are 23,76,17

The GCF of 620,561,288 is 1 .

LCM of 23,76,17 is 29716.

The greatest common factor of 620/23,561/76,288/17 = [GCF of 620,561,288]/[LCM of 23,76,17]= 1/29716

Therefore, the GCF of 620/23,561/76,288/17 is 1/29716.

Greatest Common Factor of 620,561,288

To find the highest common factor of 620,561,288, we have to find the factors of both numbers and list the highest common factor.

The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561

The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

The HCF of 620,561,288 is 1.

Lets's calculate GCF of 620,561,288

Greatest Common Factor (GCF) of 620,561,288 By Common Division

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

Greatest Common Factor of 620,561,288 By Matching Biggest Common Factor Method

Now, list down the factors of 620

1,2,4,5,10,20,31,62,124,155,310,620

Now, list down the factors of 561

1,3,11,17,33,51,187,561

Now, list down the factors of 288

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 620,561,288 . The biggest common factor number is the GCF number.
So the greatest common factor 620,561,288 is 1.

Lets's calculate LCM of 23,76,17

Lowest Common Multiple of 23,76,17 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 29716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29716

Therefore, the GCF of Fractions 620/23,561/76,288/17 is 1/29716

Least Common Multiple of 23,76,17 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 23,76,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,76,17) = 1

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

GCF(23,76,17) x common factors =1 x 1 = 1

LCM(23,76,17) = ( 23 × 76 × 17 ) / 1

LCM(23,76,17) = 29716 / 1

LCM(23,76,17) = 29716

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FAQs on GCF of Fractions of 620/23, 561/76, 288/17

1. What is the HCF of 620,561,288?

The HCF of 620,561,288 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 620/23, 561/76, 288/17?

Answer: GCF of Numerators as per given numbers 620/23, 561/76, 288/17 is

GCF of Numerators i.e. for 620,561,288 is 1

LCM of denominators i.e. for 23,76,17 is 29716.

Thus, GCF of Fractions is 1/29716.Finally, GCF of Fractions for 620/23, 561/76, 288/17 is 1/29716.