GCF of 1996/637, 8638/1627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1996/637, 8638/1627 i.e 2/1036399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1996/637, 8638/1627.
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 1996/637,8638/1627?
Given fractions are 1996/637,8638/1627
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 1996/637,8638/1627, numerators are 1996,8638
Denominators are 637,1627
The GCF of 1996,8638 is 2 .
LCM of 637,1627 is 1036399.
The greatest common factor of 1996/637,8638/1627 = [GCF of 1996,8638]/[LCM of 637,1627]= 2/1036399
Therefore, the GCF of 1996/637,8638/1627 is 2/1036399.
To find the highest common factor of 1996,8638, we have to find the factors of both numbers and list the highest common factor.
The factors of 1996 are 1, 2, 4, 499, 998, 1996
The factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638
The HCF of 1996,8638 is 2.
Lets's calculate GCF of 1996,8638
| 2 | 1996, 8638 |
| 998, 4319 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1996,8638 By Matching Biggest Common Factor Method
Now, list down the factors of 1996
:1,2,4,499,998,1996
Now, list down the factors of 8638
:1,2,7,14,617,1234,4319,8638
Greatest Common Factor
We found the factors 1996,8638 . The biggest common factor number is the GCF number.
So the greatest common factor 1996,8638 is 2.
Lets's calculate LCM of 637,1627
Given numbers has no common factors except 1. So, there LCM is their product i.e 1036399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1036399
Therefore, the GCF of Fractions 1996/637,8638/1627 is 2/1036399
Least Common Multiple of 637,1627 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 637,1627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,1627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,1627) x common factors =1 x 1 = 1
LCM(637,1627) = ( 637 × 1627 ) / 1
LCM(637,1627) = 1036399 / 1
LCM(637,1627) = 1036399
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1996/637, 8638/1627
1. What is the HCF of 1996,8638?
The HCF of 1996,8638 is 2
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 1996/637, 8638/1627?
Answer: GCF of Numerators as per given numbers 1996/637, 8638/1627 is
GCF of Numerators i.e. for 1996,8638 is 2
LCM of denominators i.e. for 637,1627 is 1036399.
Thus, GCF of Fractions is 2/1036399.Finally, GCF of Fractions for 1996/637, 8638/1627 is 2/1036399.