GCF of 216/67, 500/4705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 216/67, 500/4705 i.e 4/315235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 216/67, 500/4705.
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 216/67,500/4705?
Given fractions are 216/67,500/4705
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 216/67,500/4705, numerators are 216,500
Denominators are 67,4705
The GCF of 216,500 is 4 .
LCM of 67,4705 is 315235.
The greatest common factor of 216/67,500/4705 = [GCF of 216,500]/[LCM of 67,4705]= 4/315235
Therefore, the GCF of 216/67,500/4705 is 4/315235.
To find the highest common factor of 216,500, we have to find the factors of both numbers and list the highest common factor.
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The HCF of 216,500 is 4.
Lets's calculate GCF of 216,500
| 2 | 216, 500 |
| 2 | 108, 250 |
| 54, 125 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 216,500 By Matching Biggest Common Factor Method
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 216,500 . The biggest common factor number is the GCF number.
So the greatest common factor 216,500 is 4.
Lets's calculate LCM of 67,4705
Given numbers has no common factors except 1. So, there LCM is their product i.e 315235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/315235
Therefore, the GCF of Fractions 216/67,500/4705 is 4/315235
Least Common Multiple of 67,4705 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 67,4705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,4705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,4705) x common factors =1 x 1 = 1
LCM(67,4705) = ( 67 × 4705 ) / 1
LCM(67,4705) = 315235 / 1
LCM(67,4705) = 315235
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 216/67, 500/4705
1. What is the HCF of 216,500?
The HCF of 216,500 is 4
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 216/67, 500/4705?
Answer: GCF of Numerators as per given numbers 216/67, 500/4705 is
GCF of Numerators i.e. for 216,500 is 4
LCM of denominators i.e. for 67,4705 is 315235.
Thus, GCF of Fractions is 4/315235.Finally, GCF of Fractions for 216/67, 500/4705 is 4/315235.