GCF of 477/420, 2760/287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 477/420, 2760/287 i.e 3/17220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 477/420, 2760/287.
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 477/420,2760/287?
Given fractions are 477/420,2760/287
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 477/420,2760/287, numerators are 477,2760
Denominators are 420,287
The GCF of 477,2760 is 3 .
LCM of 420,287 is 17220.
The greatest common factor of 477/420,2760/287 = [GCF of 477,2760]/[LCM of 420,287]= 3/17220
Therefore, the GCF of 477/420,2760/287 is 3/17220.
To find the highest common factor of 477,2760, we have to find the factors of both numbers and list the highest common factor.
The factors of 477 are 1, 3, 9, 53, 159, 477
The factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760
The HCF of 477,2760 is 3.
Lets's calculate GCF of 477,2760
| 3 | 477, 2760 |
| 159, 920 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 477,2760 By Matching Biggest Common Factor Method
Now, list down the factors of 477
:1,3,9,53,159,477
Now, list down the factors of 2760
:1,2,3,4,5,6,8,10,12,15,20,23,24,30,40,46,60,69,92,115,120,138,184,230,276,345,460,552,690,920,1380,2760
Greatest Common Factor
We found the factors 477,2760 . The biggest common factor number is the GCF number.
So the greatest common factor 477,2760 is 3.
Lets's calculate LCM of 420,287
| 7 | 420, 287 |
| 60, 41 |
∴ So the LCM of the given numbers is 7 x 60 x 41 = 17220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17220
Therefore, the GCF of Fractions 477/420,2760/287 is 3/17220
Least Common Multiple of 420,287 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 420,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,287) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(420,287) x common factors =7 x 1 = 7
LCM(420,287) = ( 420 × 287 ) / 7
LCM(420,287) = 120540 / 7
LCM(420,287) = 17220
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FAQs on GCF of Fractions of 477/420, 2760/287
1. What is the HCF of 477,2760?
The HCF of 477,2760 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 477/420, 2760/287?
Answer: GCF of Numerators as per given numbers 477/420, 2760/287 is
GCF of Numerators i.e. for 477,2760 is 3
LCM of denominators i.e. for 420,287 is 17220.
Thus, GCF of Fractions is 3/17220.Finally, GCF of Fractions for 477/420, 2760/287 is 3/17220.