GCF of 830/10, 260/22, 151/366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 830/10, 260/22, 151/366 i.e 1/20130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 830/10, 260/22, 151/366.
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 830/10,260/22,151/366?
Given fractions are 830/10,260/22,151/366
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 830/10,260/22,151/366, numerators are 830,260,151
Denominators are 10,22,366
The GCF of 830,260,151 is 1 .
LCM of 10,22,366 is 20130.
The greatest common factor of 830/10,260/22,151/366 = [GCF of 830,260,151]/[LCM of 10,22,366]= 1/20130
Therefore, the GCF of 830/10,260/22,151/366 is 1/20130.
To find the highest common factor of 830,260,151, we have to find the factors of both numbers and list the highest common factor.
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
The factors of 151 are 1, 151
The HCF of 830,260,151 is 1.
Lets's calculate GCF of 830,260,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 830,260,151 By Matching Biggest Common Factor Method
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Now, list down the factors of 260
:1,2,4,5,10,13,20,26,52,65,130,260
Now, list down the factors of 151
:1,151
Greatest Common Factor
We found the factors 830,260,151 . The biggest common factor number is the GCF number.
So the greatest common factor 830,260,151 is 1.
Lets's calculate LCM of 10,22,366
| 2 | 10, 22, 366 |
| 5, 11, 183 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 183 = 20130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20130
Therefore, the GCF of Fractions 830/10,260/22,151/366 is 1/20130
Least Common Multiple of 10,22,366 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 10,22,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,22,366) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(10,22,366) x common factors =2 x 2 = 4
LCM(10,22,366) = ( 10 × 22 × 366 ) / 4
LCM(10,22,366) = 80520 / 4
LCM(10,22,366) = 20130
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 830/10, 260/22, 151/366
1. What is the HCF of 830,260,151?
The HCF of 830,260,151 is 1
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 830/10, 260/22, 151/366?
Answer: GCF of Numerators as per given numbers 830/10, 260/22, 151/366 is
GCF of Numerators i.e. for 830,260,151 is 1
LCM of denominators i.e. for 10,22,366 is 20130.
Thus, GCF of Fractions is 1/20130.Finally, GCF of Fractions for 830/10, 260/22, 151/366 is 1/20130.