GCF of 2910/212, 5850/1107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2910/212, 5850/1107 i.e 30/234684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2910/212, 5850/1107.
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 2910/212,5850/1107?
Given fractions are 2910/212,5850/1107
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 2910/212,5850/1107, numerators are 2910,5850
Denominators are 212,1107
The GCF of 2910,5850 is 30 .
LCM of 212,1107 is 234684.
The greatest common factor of 2910/212,5850/1107 = [GCF of 2910,5850]/[LCM of 212,1107]= 30/234684
Therefore, the GCF of 2910/212,5850/1107 is 30/234684.
To find the highest common factor of 2910,5850, we have to find the factors of both numbers and list the highest common factor.
The factors of 2910 are 1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910
The factors of 5850 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850
The HCF of 2910,5850 is 30.
Lets's calculate GCF of 2910,5850
| 2 | 2910, 5850 |
| 3 | 1455, 2925 |
| 5 | 485, 975 |
| 97, 195 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 2910,5850 By Matching Biggest Common Factor Method
Now, list down the factors of 2910
:1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910
Now, list down the factors of 5850
:1,2,3,5,6,9,10,13,15,18,25,26,30,39,45,50,65,75,78,90,117,130,150,195,225,234,325,390,450,585,650,975,1170,1950,2925,5850
Greatest Common Factor
We found the factors 2910,5850 . The biggest common factor number is the GCF number.
So the greatest common factor 2910,5850 is 30.
Lets's calculate LCM of 212,1107
Given numbers has no common factors except 1. So, there LCM is their product i.e 234684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/234684
Therefore, the GCF of Fractions 2910/212,5850/1107 is 30/234684
Least Common Multiple of 212,1107 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 212,1107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,1107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,1107) x common factors =1 x 1 = 1
LCM(212,1107) = ( 212 × 1107 ) / 1
LCM(212,1107) = 234684 / 1
LCM(212,1107) = 234684
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2910/212, 5850/1107
1. What is the HCF of 2910,5850?
The HCF of 2910,5850 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 2910/212, 5850/1107?
Answer: GCF of Numerators as per given numbers 2910/212, 5850/1107 is
GCF of Numerators i.e. for 2910,5850 is 30
LCM of denominators i.e. for 212,1107 is 234684.
Thus, GCF of Fractions is 30/234684.Finally, GCF of Fractions for 2910/212, 5850/1107 is 30/234684.