GCF of 360/860, 583/794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 360/860, 583/794 i.e 1/341420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 360/860, 583/794.
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 360/860,583/794?
Given fractions are 360/860,583/794
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 360/860,583/794, numerators are 360,583
Denominators are 860,794
The GCF of 360,583 is 1 .
LCM of 860,794 is 341420.
The greatest common factor of 360/860,583/794 = [GCF of 360,583]/[LCM of 860,794]= 1/341420
Therefore, the GCF of 360/860,583/794 is 1/341420.
To find the highest common factor of 360,583, we have to find the factors of both numbers and list the highest common factor.
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The factors of 583 are 1, 11, 53, 583
The HCF of 360,583 is 1.
Lets's calculate GCF of 360,583
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 360,583 By Matching Biggest Common Factor Method
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Now, list down the factors of 583
:1,11,53,583
Greatest Common Factor
We found the factors 360,583 . The biggest common factor number is the GCF number.
So the greatest common factor 360,583 is 1.
Lets's calculate LCM of 860,794
| 2 | 860, 794 |
| 430, 397 |
∴ So the LCM of the given numbers is 2 x 430 x 397 = 341420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/341420
Therefore, the GCF of Fractions 360/860,583/794 is 1/341420
Least Common Multiple of 860,794 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 860,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(860,794) x common factors =2 x 1 = 2
LCM(860,794) = ( 860 × 794 ) / 2
LCM(860,794) = 682840 / 2
LCM(860,794) = 341420
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 360/860, 583/794
1. What is the HCF of 360,583?
The HCF of 360,583 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 360/860, 583/794?
Answer: GCF of Numerators as per given numbers 360/860, 583/794 is
GCF of Numerators i.e. for 360,583 is 1
LCM of denominators i.e. for 860,794 is 341420.
Thus, GCF of Fractions is 1/341420.Finally, GCF of Fractions for 360/860, 583/794 is 1/341420.