GCF of 644/492, 8638/685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 644/492, 8638/685 i.e 14/337020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 644/492, 8638/685.
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 644/492,8638/685?
Given fractions are 644/492,8638/685
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 644/492,8638/685, numerators are 644,8638
Denominators are 492,685
The GCF of 644,8638 is 14 .
LCM of 492,685 is 337020.
The greatest common factor of 644/492,8638/685 = [GCF of 644,8638]/[LCM of 492,685]= 14/337020
Therefore, the GCF of 644/492,8638/685 is 14/337020.
To find the highest common factor of 644,8638, 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 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638
The HCF of 644,8638 is 14.
Lets's calculate GCF of 644,8638
| 2 | 644, 8638 |
| 7 | 322, 4319 |
| 46, 617 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 644,8638 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 8638
:1,2,7,14,617,1234,4319,8638
Greatest Common Factor
We found the factors 644,8638 . The biggest common factor number is the GCF number.
So the greatest common factor 644,8638 is 14.
Lets's calculate LCM of 492,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 337020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/337020
Therefore, the GCF of Fractions 644/492,8638/685 is 14/337020
Least Common Multiple of 492,685 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 492,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(492,685) x common factors =1 x 1 = 1
LCM(492,685) = ( 492 × 685 ) / 1
LCM(492,685) = 337020 / 1
LCM(492,685) = 337020
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 644/492, 8638/685
1. What is the HCF of 644,8638?
The HCF of 644,8638 is 14
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 644/492, 8638/685?
Answer: GCF of Numerators as per given numbers 644/492, 8638/685 is
GCF of Numerators i.e. for 644,8638 is 14
LCM of denominators i.e. for 492,685 is 337020.
Thus, GCF of Fractions is 14/337020.Finally, GCF of Fractions for 644/492, 8638/685 is 14/337020.