GCF of 961/585, 460/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 961/585, 460/705 i.e 1/27495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/585, 460/705.
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 961/585,460/705?
Given fractions are 961/585,460/705
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 961/585,460/705, numerators are 961,460
Denominators are 585,705
The GCF of 961,460 is 1 .
LCM of 585,705 is 27495.
The greatest common factor of 961/585,460/705 = [GCF of 961,460]/[LCM of 585,705]= 1/27495
Therefore, the GCF of 961/585,460/705 is 1/27495.
To find the highest common factor of 961,460, we have to find the factors of both numbers and list the highest common factor.
The factors of 961 are 1, 31, 961
The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
The HCF of 961,460 is 1.
Lets's calculate GCF of 961,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 961,460 By Matching Biggest Common Factor Method
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 460
:1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 961,460 . The biggest common factor number is the GCF number.
So the greatest common factor 961,460 is 1.
Lets's calculate LCM of 585,705
| 3 | 585, 705 |
| 5 | 195, 235 |
| 39, 47 |
∴ So the LCM of the given numbers is 3 x 5 x 39 x 47 = 27495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27495
Therefore, the GCF of Fractions 961/585,460/705 is 1/27495
Least Common Multiple of 585,705 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 585,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,705) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(585,705) x common factors =15 x 1 = 15
LCM(585,705) = ( 585 × 705 ) / 15
LCM(585,705) = 412425 / 15
LCM(585,705) = 27495
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 961/585, 460/705
1. What is the HCF of 961,460?
The HCF of 961,460 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 961/585, 460/705?
Answer: GCF of Numerators as per given numbers 961/585, 460/705 is
GCF of Numerators i.e. for 961,460 is 1
LCM of denominators i.e. for 585,705 is 27495.
Thus, GCF of Fractions is 1/27495.Finally, GCF of Fractions for 961/585, 460/705 is 1/27495.