GCF of 150/522, 3060/783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 150/522, 3060/783 i.e 30/1566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/522, 3060/783.
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 150/522,3060/783?
Given fractions are 150/522,3060/783
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 150/522,3060/783, numerators are 150,3060
Denominators are 522,783
The GCF of 150,3060 is 30 .
LCM of 522,783 is 1566.
The greatest common factor of 150/522,3060/783 = [GCF of 150,3060]/[LCM of 522,783]= 30/1566
Therefore, the GCF of 150/522,3060/783 is 30/1566.
To find the highest common factor of 150,3060, we have to find the factors of both numbers and list the highest common factor.
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060
The HCF of 150,3060 is 30.
Lets's calculate GCF of 150,3060
| 2 | 150, 3060 |
| 3 | 75, 1530 |
| 5 | 25, 510 |
| 5, 102 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 150,3060 By Matching Biggest Common Factor Method
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Now, list down the factors of 3060
:1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060
Greatest Common Factor
We found the factors 150,3060 . The biggest common factor number is the GCF number.
So the greatest common factor 150,3060 is 30.
Lets's calculate LCM of 522,783
| 3 | 522, 783 |
| 3 | 174, 261 |
| 29 | 58, 87 |
| 2, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 29 x 2 x 3 = 1566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1566
Therefore, the GCF of Fractions 150/522,3060/783 is 30/1566
Least Common Multiple of 522,783 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 522,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,783) = 261
common factors(in case of two or more numbers have common factors) = 1
GCF(522,783) x common factors =261 x 1 = 261
LCM(522,783) = ( 522 × 783 ) / 261
LCM(522,783) = 408726 / 261
LCM(522,783) = 1566
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FAQs on GCF of Fractions of 150/522, 3060/783
1. What is the HCF of 150,3060?
The HCF of 150,3060 is 30
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 150/522, 3060/783?
Answer: GCF of Numerators as per given numbers 150/522, 3060/783 is
GCF of Numerators i.e. for 150,3060 is 30
LCM of denominators i.e. for 522,783 is 1566.
Thus, GCF of Fractions is 30/1566.Finally, GCF of Fractions for 150/522, 3060/783 is 30/1566.