GCF of 360/812, 3795/683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 360/812, 3795/683 i.e 15/554596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 360/812, 3795/683.
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 360/812,3795/683?
Given fractions are 360/812,3795/683
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 360/812,3795/683, numerators are 360,3795
Denominators are 812,683
The GCF of 360,3795 is 15 .
LCM of 812,683 is 554596.
The greatest common factor of 360/812,3795/683 = [GCF of 360,3795]/[LCM of 812,683]= 15/554596
Therefore, the GCF of 360/812,3795/683 is 15/554596.
To find the highest common factor of 360,3795, 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 3795 are 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795
The HCF of 360,3795 is 15.
Lets's calculate GCF of 360,3795
| 3 | 360, 3795 |
| 5 | 120, 1265 |
| 24, 253 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 360,3795 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 3795
:1,3,5,11,15,23,33,55,69,115,165,253,345,759,1265,3795
Greatest Common Factor
We found the factors 360,3795 . The biggest common factor number is the GCF number.
So the greatest common factor 360,3795 is 15.
Lets's calculate LCM of 812,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 554596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/554596
Therefore, the GCF of Fractions 360/812,3795/683 is 15/554596
Least Common Multiple of 812,683 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 812,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,683) x common factors =1 x 1 = 1
LCM(812,683) = ( 812 × 683 ) / 1
LCM(812,683) = 554596 / 1
LCM(812,683) = 554596
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 360/812, 3795/683
1. What is the HCF of 360,3795?
The HCF of 360,3795 is 15
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 360/812, 3795/683?
Answer: GCF of Numerators as per given numbers 360/812, 3795/683 is
GCF of Numerators i.e. for 360,3795 is 15
LCM of denominators i.e. for 812,683 is 554596.
Thus, GCF of Fractions is 15/554596.Finally, GCF of Fractions for 360/812, 3795/683 is 15/554596.