GCF of 644/236, 8204/7671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 644/236, 8204/7671 i.e 28/1810356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 644/236, 8204/7671.
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 644/236,8204/7671?
Given fractions are 644/236,8204/7671
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 644/236,8204/7671, numerators are 644,8204
Denominators are 236,7671
The GCF of 644,8204 is 28 .
LCM of 236,7671 is 1810356.
The greatest common factor of 644/236,8204/7671 = [GCF of 644,8204]/[LCM of 236,7671]= 28/1810356
Therefore, the GCF of 644/236,8204/7671 is 28/1810356.
To find the highest common factor of 644,8204, we have to find the factors of both numbers and list the highest common factor.
The factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
The factors of 8204 are 1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204
The HCF of 644,8204 is 28.
Lets's calculate GCF of 644,8204
| 2 | 644, 8204 |
| 2 | 322, 4102 |
| 7 | 161, 2051 |
| 23, 293 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 644,8204 By Matching Biggest Common Factor Method
Now, list down the factors of 644
:1,2,4,7,14,23,28,46,92,161,322,644
Now, list down the factors of 8204
:1,2,4,7,14,28,293,586,1172,2051,4102,8204
Greatest Common Factor
We found the factors 644,8204 . The biggest common factor number is the GCF number.
So the greatest common factor 644,8204 is 28.
Lets's calculate LCM of 236,7671
Given numbers has no common factors except 1. So, there LCM is their product i.e 1810356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/1810356
Therefore, the GCF of Fractions 644/236,8204/7671 is 28/1810356
Least Common Multiple of 236,7671 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 236,7671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,7671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,7671) x common factors =1 x 1 = 1
LCM(236,7671) = ( 236 × 7671 ) / 1
LCM(236,7671) = 1810356 / 1
LCM(236,7671) = 1810356
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 644/236, 8204/7671
1. What is the HCF of 644,8204?
The HCF of 644,8204 is 28
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 644/236, 8204/7671?
Answer: GCF of Numerators as per given numbers 644/236, 8204/7671 is
GCF of Numerators i.e. for 644,8204 is 28
LCM of denominators i.e. for 236,7671 is 1810356.
Thus, GCF of Fractions is 28/1810356.Finally, GCF of Fractions for 644/236, 8204/7671 is 28/1810356.