GCF of 8716/756, 2400/5217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8716/756, 2400/5217 i.e 4/1314684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8716/756, 2400/5217.
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 8716/756,2400/5217?
Given fractions are 8716/756,2400/5217
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 8716/756,2400/5217, numerators are 8716,2400
Denominators are 756,5217
The GCF of 8716,2400 is 4 .
LCM of 756,5217 is 1314684.
The greatest common factor of 8716/756,2400/5217 = [GCF of 8716,2400]/[LCM of 756,5217]= 4/1314684
Therefore, the GCF of 8716/756,2400/5217 is 4/1314684.
To find the highest common factor of 8716,2400, we have to find the factors of both numbers and list the highest common factor.
The factors of 8716 are 1, 2, 4, 2179, 4358, 8716
The factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400
The HCF of 8716,2400 is 4.
Lets's calculate GCF of 8716,2400
| 2 | 8716, 2400 |
| 2 | 4358, 1200 |
| 2179, 600 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8716,2400 By Matching Biggest Common Factor Method
Now, list down the factors of 8716
:1,2,4,2179,4358,8716
Now, list down the factors of 2400
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400
Greatest Common Factor
We found the factors 8716,2400 . The biggest common factor number is the GCF number.
So the greatest common factor 8716,2400 is 4.
Lets's calculate LCM of 756,5217
| 3 | 756, 5217 |
| 252, 1739 |
∴ So the LCM of the given numbers is 3 x 252 x 1739 = 1314684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1314684
Therefore, the GCF of Fractions 8716/756,2400/5217 is 4/1314684
Least Common Multiple of 756,5217 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 756,5217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,5217) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(756,5217) x common factors =3 x 1 = 3
LCM(756,5217) = ( 756 × 5217 ) / 3
LCM(756,5217) = 3944052 / 3
LCM(756,5217) = 1314684
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FAQs on GCF of Fractions of 8716/756, 2400/5217
1. What is the HCF of 8716,2400?
The HCF of 8716,2400 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 8716/756, 2400/5217?
Answer: GCF of Numerators as per given numbers 8716/756, 2400/5217 is
GCF of Numerators i.e. for 8716,2400 is 4
LCM of denominators i.e. for 756,5217 is 1314684.
Thus, GCF of Fractions is 4/1314684.Finally, GCF of Fractions for 8716/756, 2400/5217 is 4/1314684.