GCF of 900/921, 510/291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 900/921, 510/291 i.e 30/89337 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/921, 510/291.
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 900/921,510/291?
Given fractions are 900/921,510/291
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 900/921,510/291, numerators are 900,510
Denominators are 921,291
The GCF of 900,510 is 30 .
LCM of 921,291 is 89337.
The greatest common factor of 900/921,510/291 = [GCF of 900,510]/[LCM of 921,291]= 30/89337
Therefore, the GCF of 900/921,510/291 is 30/89337.
To find the highest common factor of 900,510, we have to find the factors of both numbers and list the highest common factor.
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The HCF of 900,510 is 30.
Lets's calculate GCF of 900,510
| 2 | 900, 510 |
| 3 | 450, 255 |
| 5 | 150, 85 |
| 30, 17 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 900,510 By Matching Biggest Common Factor Method
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 900,510 . The biggest common factor number is the GCF number.
So the greatest common factor 900,510 is 30.
Lets's calculate LCM of 921,291
| 3 | 921, 291 |
| 307, 97 |
∴ So the LCM of the given numbers is 3 x 307 x 97 = 89337
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/89337
Therefore, the GCF of Fractions 900/921,510/291 is 30/89337
Least Common Multiple of 921,291 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 921,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,291) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,291) x common factors =3 x 1 = 3
LCM(921,291) = ( 921 × 291 ) / 3
LCM(921,291) = 268011 / 3
LCM(921,291) = 89337
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 900/921, 510/291
1. What is the HCF of 900,510?
The HCF of 900,510 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 900/921, 510/291?
Answer: GCF of Numerators as per given numbers 900/921, 510/291 is
GCF of Numerators i.e. for 900,510 is 30
LCM of denominators i.e. for 921,291 is 89337.
Thus, GCF of Fractions is 30/89337.Finally, GCF of Fractions for 900/921, 510/291 is 30/89337.