GCF of 436/71, 228/317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 436/71, 228/317 i.e 4/22507 easily. The following is the detailed procedure to determine the greatest common factor of fractions 436/71, 228/317.
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 436/71,228/317?
Given fractions are 436/71,228/317
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 436/71,228/317, numerators are 436,228
Denominators are 71,317
The GCF of 436,228 is 4 .
LCM of 71,317 is 22507.
The greatest common factor of 436/71,228/317 = [GCF of 436,228]/[LCM of 71,317]= 4/22507
Therefore, the GCF of 436/71,228/317 is 4/22507.
To find the highest common factor of 436,228, we have to find the factors of both numbers and list the highest common factor.
The factors of 436 are 1, 2, 4, 109, 218, 436
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The HCF of 436,228 is 4.
Lets's calculate GCF of 436,228
| 2 | 436, 228 |
| 2 | 218, 114 |
| 109, 57 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 436,228 By Matching Biggest Common Factor Method
Now, list down the factors of 436
:1,2,4,109,218,436
Now, list down the factors of 228
:1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 436,228 . The biggest common factor number is the GCF number.
So the greatest common factor 436,228 is 4.
Lets's calculate LCM of 71,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 22507
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/22507
Therefore, the GCF of Fractions 436/71,228/317 is 4/22507
Least Common Multiple of 71,317 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 71,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,317) x common factors =1 x 1 = 1
LCM(71,317) = ( 71 × 317 ) / 1
LCM(71,317) = 22507 / 1
LCM(71,317) = 22507
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 436/71, 228/317
1. What is the HCF of 436,228?
The HCF of 436,228 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 436/71, 228/317?
Answer: GCF of Numerators as per given numbers 436/71, 228/317 is
GCF of Numerators i.e. for 436,228 is 4
LCM of denominators i.e. for 71,317 is 22507.
Thus, GCF of Fractions is 4/22507.Finally, GCF of Fractions for 436/71, 228/317 is 4/22507.