GCF of 360/507, 2700/5638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 360/507, 2700/5638 i.e 180/2858466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 360/507, 2700/5638.
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 360/507,2700/5638?
Given fractions are 360/507,2700/5638
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 360/507,2700/5638, numerators are 360,2700
Denominators are 507,5638
The GCF of 360,2700 is 180 .
LCM of 507,5638 is 2858466.
The greatest common factor of 360/507,2700/5638 = [GCF of 360,2700]/[LCM of 507,5638]= 180/2858466
Therefore, the GCF of 360/507,2700/5638 is 180/2858466.
To find the highest common factor of 360,2700, 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 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700
The HCF of 360,2700 is 180.
Lets's calculate GCF of 360,2700
| 2 | 360, 2700 |
| 2 | 180, 1350 |
| 3 | 90, 675 |
| 3 | 30, 225 |
| 5 | 10, 75 |
| 2, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 5 = 180
Greatest Common Factor of 360,2700 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 2700
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700
Greatest Common Factor
We found the factors 360,2700 . The biggest common factor number is the GCF number.
So the greatest common factor 360,2700 is 180.
Lets's calculate LCM of 507,5638
Given numbers has no common factors except 1. So, there LCM is their product i.e 2858466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 180/2858466
Therefore, the GCF of Fractions 360/507,2700/5638 is 180/2858466
Least Common Multiple of 507,5638 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 507,5638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,5638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,5638) x common factors =1 x 1 = 1
LCM(507,5638) = ( 507 × 5638 ) / 1
LCM(507,5638) = 2858466 / 1
LCM(507,5638) = 2858466
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 360/507, 2700/5638
1. What is the HCF of 360,2700?
The HCF of 360,2700 is 180
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 360/507, 2700/5638?
Answer: GCF of Numerators as per given numbers 360/507, 2700/5638 is
GCF of Numerators i.e. for 360,2700 is 180
LCM of denominators i.e. for 507,5638 is 2858466.
Thus, GCF of Fractions is 180/2858466.Finally, GCF of Fractions for 360/507, 2700/5638 is 180/2858466.