GCF of 4227/990, 7122/1620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4227/990, 7122/1620 i.e 3/17820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4227/990, 7122/1620.
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 4227/990,7122/1620?
Given fractions are 4227/990,7122/1620
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 4227/990,7122/1620, numerators are 4227,7122
Denominators are 990,1620
The GCF of 4227,7122 is 3 .
LCM of 990,1620 is 17820.
The greatest common factor of 4227/990,7122/1620 = [GCF of 4227,7122]/[LCM of 990,1620]= 3/17820
Therefore, the GCF of 4227/990,7122/1620 is 3/17820.
To find the highest common factor of 4227,7122, we have to find the factors of both numbers and list the highest common factor.
The factors of 4227 are 1, 3, 1409, 4227
The factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122
The HCF of 4227,7122 is 3.
Lets's calculate GCF of 4227,7122
| 3 | 4227, 7122 |
| 1409, 2374 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4227,7122 By Matching Biggest Common Factor Method
Now, list down the factors of 4227
:1,3,1409,4227
Now, list down the factors of 7122
:1,2,3,6,1187,2374,3561,7122
Greatest Common Factor
We found the factors 4227,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 4227,7122 is 3.
Lets's calculate LCM of 990,1620
| 2 | 990, 1620 |
| 3 | 495, 810 |
| 3 | 165, 270 |
| 5 | 55, 90 |
| 11, 18 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 11 x 18 = 17820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17820
Therefore, the GCF of Fractions 4227/990,7122/1620 is 3/17820
Least Common Multiple of 990,1620 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 990,1620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,1620) = 90
common factors(in case of two or more numbers have common factors) = 1
GCF(990,1620) x common factors =90 x 1 = 90
LCM(990,1620) = ( 990 × 1620 ) / 90
LCM(990,1620) = 1603800 / 90
LCM(990,1620) = 17820
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4227/990, 7122/1620
1. What is the HCF of 4227,7122?
The HCF of 4227,7122 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 4227/990, 7122/1620?
Answer: GCF of Numerators as per given numbers 4227/990, 7122/1620 is
GCF of Numerators i.e. for 4227,7122 is 3
LCM of denominators i.e. for 990,1620 is 17820.
Thus, GCF of Fractions is 3/17820.Finally, GCF of Fractions for 4227/990, 7122/1620 is 3/17820.