GCF of 905/230, 868/596, 312/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 905/230, 868/596, 312/584 i.e 1/10006840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 905/230, 868/596, 312/584.
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 905/230,868/596,312/584?
Given fractions are 905/230,868/596,312/584
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 905/230,868/596,312/584, numerators are 905,868,312
Denominators are 230,596,584
The GCF of 905,868,312 is 1 .
LCM of 230,596,584 is 10006840.
The greatest common factor of 905/230,868/596,312/584 = [GCF of 905,868,312]/[LCM of 230,596,584]= 1/10006840
Therefore, the GCF of 905/230,868/596,312/584 is 1/10006840.
To find the highest common factor of 905,868,312, we have to find the factors of both numbers and list the highest common factor.
The factors of 905 are 1, 5, 181, 905
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 905,868,312 is 1.
Lets's calculate GCF of 905,868,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 905,868,312 By Matching Biggest Common Factor Method
Now, list down the factors of 905
:1,5,181,905
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 905,868,312 . The biggest common factor number is the GCF number.
So the greatest common factor 905,868,312 is 1.
Lets's calculate LCM of 230,596,584
| 2 | 230, 596, 584 |
| 2 | 115, 298, 292 |
| 115, 149, 146 |
∴ So the LCM of the given numbers is 2 x 2 x 115 x 149 x 146 = 10006840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10006840
Therefore, the GCF of Fractions 905/230,868/596,312/584 is 1/10006840
Least Common Multiple of 230,596,584 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 230,596,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,596,584) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(230,596,584) x common factors =2 x 4 = 8
LCM(230,596,584) = ( 230 × 596 × 584 ) / 8
LCM(230,596,584) = 80054720 / 8
LCM(230,596,584) = 10006840
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 905/230, 868/596, 312/584
1. What is the HCF of 905,868,312?
The HCF of 905,868,312 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 905/230, 868/596, 312/584?
Answer: GCF of Numerators as per given numbers 905/230, 868/596, 312/584 is
GCF of Numerators i.e. for 905,868,312 is 1
LCM of denominators i.e. for 230,596,584 is 10006840.
Thus, GCF of Fractions is 1/10006840.Finally, GCF of Fractions for 905/230, 868/596, 312/584 is 1/10006840.