GCF of 5026/406, 2996/1496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5026/406, 2996/1496 i.e 14/303688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5026/406, 2996/1496.
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 5026/406,2996/1496?
Given fractions are 5026/406,2996/1496
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 5026/406,2996/1496, numerators are 5026,2996
Denominators are 406,1496
The GCF of 5026,2996 is 14 .
LCM of 406,1496 is 303688.
The greatest common factor of 5026/406,2996/1496 = [GCF of 5026,2996]/[LCM of 406,1496]= 14/303688
Therefore, the GCF of 5026/406,2996/1496 is 14/303688.
To find the highest common factor of 5026,2996, we have to find the factors of both numbers and list the highest common factor.
The factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026
The factors of 2996 are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996
The HCF of 5026,2996 is 14.
Lets's calculate GCF of 5026,2996
| 2 | 5026, 2996 |
| 7 | 2513, 1498 |
| 359, 214 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5026,2996 By Matching Biggest Common Factor Method
Now, list down the factors of 5026
:1,2,7,14,359,718,2513,5026
Now, list down the factors of 2996
:1,2,4,7,14,28,107,214,428,749,1498,2996
Greatest Common Factor
We found the factors 5026,2996 . The biggest common factor number is the GCF number.
So the greatest common factor 5026,2996 is 14.
Lets's calculate LCM of 406,1496
| 2 | 406, 1496 |
| 203, 748 |
∴ So the LCM of the given numbers is 2 x 203 x 748 = 303688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/303688
Therefore, the GCF of Fractions 5026/406,2996/1496 is 14/303688
Least Common Multiple of 406,1496 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 406,1496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,1496) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,1496) x common factors =2 x 1 = 2
LCM(406,1496) = ( 406 × 1496 ) / 2
LCM(406,1496) = 607376 / 2
LCM(406,1496) = 303688
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5026/406, 2996/1496
1. What is the HCF of 5026,2996?
The HCF of 5026,2996 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 5026/406, 2996/1496?
Answer: GCF of Numerators as per given numbers 5026/406, 2996/1496 is
GCF of Numerators i.e. for 5026,2996 is 14
LCM of denominators i.e. for 406,1496 is 303688.
Thus, GCF of Fractions is 14/303688.Finally, GCF of Fractions for 5026/406, 2996/1496 is 14/303688.