GCF of 8224/873, 2370/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8224/873, 2370/136 i.e 2/118728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8224/873, 2370/136.
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 8224/873,2370/136?
Given fractions are 8224/873,2370/136
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 8224/873,2370/136, numerators are 8224,2370
Denominators are 873,136
The GCF of 8224,2370 is 2 .
LCM of 873,136 is 118728.
The greatest common factor of 8224/873,2370/136 = [GCF of 8224,2370]/[LCM of 873,136]= 2/118728
Therefore, the GCF of 8224/873,2370/136 is 2/118728.
To find the highest common factor of 8224,2370, we have to find the factors of both numbers and list the highest common factor.
The factors of 8224 are 1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112, 8224
The factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370
The HCF of 8224,2370 is 2.
Lets's calculate GCF of 8224,2370
| 2 | 8224, 2370 |
| 4112, 1185 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8224,2370 By Matching Biggest Common Factor Method
Now, list down the factors of 8224
:1,2,4,8,16,32,257,514,1028,2056,4112,8224
Now, list down the factors of 2370
:1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Greatest Common Factor
We found the factors 8224,2370 . The biggest common factor number is the GCF number.
So the greatest common factor 8224,2370 is 2.
Lets's calculate LCM of 873,136
Given numbers has no common factors except 1. So, there LCM is their product i.e 118728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118728
Therefore, the GCF of Fractions 8224/873,2370/136 is 2/118728
Least Common Multiple of 873,136 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 873,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,136) x common factors =1 x 1 = 1
LCM(873,136) = ( 873 × 136 ) / 1
LCM(873,136) = 118728 / 1
LCM(873,136) = 118728
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8224/873, 2370/136
1. What is the HCF of 8224,2370?
The HCF of 8224,2370 is 2
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 8224/873, 2370/136?
Answer: GCF of Numerators as per given numbers 8224/873, 2370/136 is
GCF of Numerators i.e. for 8224,2370 is 2
LCM of denominators i.e. for 873,136 is 118728.
Thus, GCF of Fractions is 2/118728.Finally, GCF of Fractions for 8224/873, 2370/136 is 2/118728.