GCF of 336/783, 609/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 336/783, 609/284 i.e 21/222372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/783, 609/284.
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 336/783,609/284?
Given fractions are 336/783,609/284
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 336/783,609/284, numerators are 336,609
Denominators are 783,284
The GCF of 336,609 is 21 .
LCM of 783,284 is 222372.
The greatest common factor of 336/783,609/284 = [GCF of 336,609]/[LCM of 783,284]= 21/222372
Therefore, the GCF of 336/783,609/284 is 21/222372.
To find the highest common factor of 336,609, we have to find the factors of both numbers and list the highest common factor.
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The HCF of 336,609 is 21.
Lets's calculate GCF of 336,609
| 3 | 336, 609 |
| 7 | 112, 203 |
| 16, 29 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 336,609 By Matching Biggest Common Factor Method
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 336,609 . The biggest common factor number is the GCF number.
So the greatest common factor 336,609 is 21.
Lets's calculate LCM of 783,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 222372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/222372
Therefore, the GCF of Fractions 336/783,609/284 is 21/222372
Least Common Multiple of 783,284 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 783,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,284) x common factors =1 x 1 = 1
LCM(783,284) = ( 783 × 284 ) / 1
LCM(783,284) = 222372 / 1
LCM(783,284) = 222372
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 336/783, 609/284
1. What is the HCF of 336,609?
The HCF of 336,609 is 21
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 336/783, 609/284?
Answer: GCF of Numerators as per given numbers 336/783, 609/284 is
GCF of Numerators i.e. for 336,609 is 21
LCM of denominators i.e. for 783,284 is 222372.
Thus, GCF of Fractions is 21/222372.Finally, GCF of Fractions for 336/783, 609/284 is 21/222372.