GCF of 2596/352, 6728/3946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2596/352, 6728/3946 i.e 4/694496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2596/352, 6728/3946.
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 2596/352,6728/3946?
Given fractions are 2596/352,6728/3946
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 2596/352,6728/3946, numerators are 2596,6728
Denominators are 352,3946
The GCF of 2596,6728 is 4 .
LCM of 352,3946 is 694496.
The greatest common factor of 2596/352,6728/3946 = [GCF of 2596,6728]/[LCM of 352,3946]= 4/694496
Therefore, the GCF of 2596/352,6728/3946 is 4/694496.
To find the highest common factor of 2596,6728, we have to find the factors of both numbers and list the highest common factor.
The factors of 2596 are 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596
The factors of 6728 are 1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728
The HCF of 2596,6728 is 4.
Lets's calculate GCF of 2596,6728
| 2 | 2596, 6728 |
| 2 | 1298, 3364 |
| 649, 1682 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2596,6728 By Matching Biggest Common Factor Method
Now, list down the factors of 2596
:1,2,4,11,22,44,59,118,236,649,1298,2596
Now, list down the factors of 6728
:1,2,4,8,29,58,116,232,841,1682,3364,6728
Greatest Common Factor
We found the factors 2596,6728 . The biggest common factor number is the GCF number.
So the greatest common factor 2596,6728 is 4.
Lets's calculate LCM of 352,3946
| 2 | 352, 3946 |
| 176, 1973 |
∴ So the LCM of the given numbers is 2 x 176 x 1973 = 694496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/694496
Therefore, the GCF of Fractions 2596/352,6728/3946 is 4/694496
Least Common Multiple of 352,3946 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 352,3946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,3946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(352,3946) x common factors =2 x 1 = 2
LCM(352,3946) = ( 352 × 3946 ) / 2
LCM(352,3946) = 1388992 / 2
LCM(352,3946) = 694496
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2596/352, 6728/3946
1. What is the HCF of 2596,6728?
The HCF of 2596,6728 is 4
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 2596/352, 6728/3946?
Answer: GCF of Numerators as per given numbers 2596/352, 6728/3946 is
GCF of Numerators i.e. for 2596,6728 is 4
LCM of denominators i.e. for 352,3946 is 694496.
Thus, GCF of Fractions is 4/694496.Finally, GCF of Fractions for 2596/352, 6728/3946 is 4/694496.