GCF of 315/772, 582/756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 315/772, 582/756 i.e 3/145908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 315/772, 582/756.
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 315/772,582/756?
Given fractions are 315/772,582/756
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 315/772,582/756, numerators are 315,582
Denominators are 772,756
The GCF of 315,582 is 3 .
LCM of 772,756 is 145908.
The greatest common factor of 315/772,582/756 = [GCF of 315,582]/[LCM of 772,756]= 3/145908
Therefore, the GCF of 315/772,582/756 is 3/145908.
To find the highest common factor of 315,582, we have to find the factors of both numbers and list the highest common factor.
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582
The HCF of 315,582 is 3.
Lets's calculate GCF of 315,582
| 3 | 315, 582 |
| 105, 194 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 315,582 By Matching Biggest Common Factor Method
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 315,582 . The biggest common factor number is the GCF number.
So the greatest common factor 315,582 is 3.
Lets's calculate LCM of 772,756
| 2 | 772, 756 |
| 2 | 386, 378 |
| 193, 189 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 189 = 145908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/145908
Therefore, the GCF of Fractions 315/772,582/756 is 3/145908
Least Common Multiple of 772,756 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 772,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,756) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,756) x common factors =4 x 1 = 4
LCM(772,756) = ( 772 × 756 ) / 4
LCM(772,756) = 583632 / 4
LCM(772,756) = 145908
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FAQs on GCF of Fractions of 315/772, 582/756
1. What is the HCF of 315,582?
The HCF of 315,582 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 315/772, 582/756?
Answer: GCF of Numerators as per given numbers 315/772, 582/756 is
GCF of Numerators i.e. for 315,582 is 3
LCM of denominators i.e. for 772,756 is 145908.
Thus, GCF of Fractions is 3/145908.Finally, GCF of Fractions for 315/772, 582/756 is 3/145908.