GCF of 441/659, 784/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 441/659, 784/228 i.e 49/150252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/659, 784/228.
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 441/659,784/228?
Given fractions are 441/659,784/228
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 441/659,784/228, numerators are 441,784
Denominators are 659,228
The GCF of 441,784 is 49 .
LCM of 659,228 is 150252.
The greatest common factor of 441/659,784/228 = [GCF of 441,784]/[LCM of 659,228]= 49/150252
Therefore, the GCF of 441/659,784/228 is 49/150252.
To find the highest common factor of 441,784, we have to find the factors of both numbers and list the highest common factor.
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441
The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The HCF of 441,784 is 49.
Lets's calculate GCF of 441,784
| 7 | 441, 784 |
| 7 | 63, 112 |
| 9, 16 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 441,784 By Matching Biggest Common Factor Method
Now, list down the factors of 441
:1,3,7,9,21,49,63,147,441
Now, list down the factors of 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 441,784 . The biggest common factor number is the GCF number.
So the greatest common factor 441,784 is 49.
Lets's calculate LCM of 659,228
Given numbers has no common factors except 1. So, there LCM is their product i.e 150252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/150252
Therefore, the GCF of Fractions 441/659,784/228 is 49/150252
Least Common Multiple of 659,228 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 659,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,228) x common factors =1 x 1 = 1
LCM(659,228) = ( 659 × 228 ) / 1
LCM(659,228) = 150252 / 1
LCM(659,228) = 150252
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 441/659, 784/228
1. What is the HCF of 441,784?
The HCF of 441,784 is 49
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 441/659, 784/228?
Answer: GCF of Numerators as per given numbers 441/659, 784/228 is
GCF of Numerators i.e. for 441,784 is 49
LCM of denominators i.e. for 659,228 is 150252.
Thus, GCF of Fractions is 49/150252.Finally, GCF of Fractions for 441/659, 784/228 is 49/150252.