GCF of 868/565, 436/115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 868/565, 436/115 i.e 4/12995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/565, 436/115.
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 868/565,436/115?
Given fractions are 868/565,436/115
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 868/565,436/115, numerators are 868,436
Denominators are 565,115
The GCF of 868,436 is 4 .
LCM of 565,115 is 12995.
The greatest common factor of 868/565,436/115 = [GCF of 868,436]/[LCM of 565,115]= 4/12995
Therefore, the GCF of 868/565,436/115 is 4/12995.
To find the highest common factor of 868,436, we have to find the factors of both numbers and list the highest common factor.
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 436 are 1, 2, 4, 109, 218, 436
The HCF of 868,436 is 4.
Lets's calculate GCF of 868,436
| 2 | 868, 436 |
| 2 | 434, 218 |
| 217, 109 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 868,436 By Matching Biggest Common Factor Method
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 436
:1,2,4,109,218,436
Greatest Common Factor
We found the factors 868,436 . The biggest common factor number is the GCF number.
So the greatest common factor 868,436 is 4.
Lets's calculate LCM of 565,115
| 5 | 565, 115 |
| 113, 23 |
∴ So the LCM of the given numbers is 5 x 113 x 23 = 12995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12995
Therefore, the GCF of Fractions 868/565,436/115 is 4/12995
Least Common Multiple of 565,115 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 565,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,115) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(565,115) x common factors =5 x 1 = 5
LCM(565,115) = ( 565 × 115 ) / 5
LCM(565,115) = 64975 / 5
LCM(565,115) = 12995
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 868/565, 436/115
1. What is the HCF of 868,436?
The HCF of 868,436 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 868/565, 436/115?
Answer: GCF of Numerators as per given numbers 868/565, 436/115 is
GCF of Numerators i.e. for 868,436 is 4
LCM of denominators i.e. for 565,115 is 12995.
Thus, GCF of Fractions is 4/12995.Finally, GCF of Fractions for 868/565, 436/115 is 4/12995.