GCF of 291/812, 3330/8636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 291/812, 3330/8636 i.e 3/1753108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/812, 3330/8636.
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 291/812,3330/8636?
Given fractions are 291/812,3330/8636
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 291/812,3330/8636, numerators are 291,3330
Denominators are 812,8636
The GCF of 291,3330 is 3 .
LCM of 812,8636 is 1753108.
The greatest common factor of 291/812,3330/8636 = [GCF of 291,3330]/[LCM of 812,8636]= 3/1753108
Therefore, the GCF of 291/812,3330/8636 is 3/1753108.
To find the highest common factor of 291,3330, we have to find the factors of both numbers and list the highest common factor.
The factors of 291 are 1, 3, 97, 291
The factors of 3330 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330
The HCF of 291,3330 is 3.
Lets's calculate GCF of 291,3330
| 3 | 291, 3330 |
| 97, 1110 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 291,3330 By Matching Biggest Common Factor Method
Now, list down the factors of 291
:1,3,97,291
Now, list down the factors of 3330
:1,2,3,5,6,9,10,15,18,30,37,45,74,90,111,185,222,333,370,555,666,1110,1665,3330
Greatest Common Factor
We found the factors 291,3330 . The biggest common factor number is the GCF number.
So the greatest common factor 291,3330 is 3.
Lets's calculate LCM of 812,8636
| 2 | 812, 8636 |
| 2 | 406, 4318 |
| 203, 2159 |
∴ So the LCM of the given numbers is 2 x 2 x 203 x 2159 = 1753108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1753108
Therefore, the GCF of Fractions 291/812,3330/8636 is 3/1753108
Least Common Multiple of 812,8636 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 812,8636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,8636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(812,8636) x common factors =4 x 1 = 4
LCM(812,8636) = ( 812 × 8636 ) / 4
LCM(812,8636) = 7012432 / 4
LCM(812,8636) = 1753108
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FAQs on GCF of Fractions of 291/812, 3330/8636
1. What is the HCF of 291,3330?
The HCF of 291,3330 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 291/812, 3330/8636?
Answer: GCF of Numerators as per given numbers 291/812, 3330/8636 is
GCF of Numerators i.e. for 291,3330 is 3
LCM of denominators i.e. for 812,8636 is 1753108.
Thus, GCF of Fractions is 3/1753108.Finally, GCF of Fractions for 291/812, 3330/8636 is 3/1753108.