GCF of 2596/356, 4029/5788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2596/356, 4029/5788 i.e 1/515132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2596/356, 4029/5788.
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 2596/356,4029/5788?
Given fractions are 2596/356,4029/5788
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 2596/356,4029/5788, numerators are 2596,4029
Denominators are 356,5788
The GCF of 2596,4029 is 1 .
LCM of 356,5788 is 515132.
The greatest common factor of 2596/356,4029/5788 = [GCF of 2596,4029]/[LCM of 356,5788]= 1/515132
Therefore, the GCF of 2596/356,4029/5788 is 1/515132.
To find the highest common factor of 2596,4029, 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 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029
The HCF of 2596,4029 is 1.
Lets's calculate GCF of 2596,4029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2596,4029 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 4029
:1,3,17,51,79,237,1343,4029
Greatest Common Factor
We found the factors 2596,4029 . The biggest common factor number is the GCF number.
So the greatest common factor 2596,4029 is 1.
Lets's calculate LCM of 356,5788
| 2 | 356, 5788 |
| 2 | 178, 2894 |
| 89, 1447 |
∴ So the LCM of the given numbers is 2 x 2 x 89 x 1447 = 515132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515132
Therefore, the GCF of Fractions 2596/356,4029/5788 is 1/515132
Least Common Multiple of 356,5788 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 356,5788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,5788) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(356,5788) x common factors =4 x 1 = 4
LCM(356,5788) = ( 356 × 5788 ) / 4
LCM(356,5788) = 2060528 / 4
LCM(356,5788) = 515132
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FAQs on GCF of Fractions of 2596/356, 4029/5788
1. What is the HCF of 2596,4029?
The HCF of 2596,4029 is 1
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 2596/356, 4029/5788?
Answer: GCF of Numerators as per given numbers 2596/356, 4029/5788 is
GCF of Numerators i.e. for 2596,4029 is 1
LCM of denominators i.e. for 356,5788 is 515132.
Thus, GCF of Fractions is 1/515132.Finally, GCF of Fractions for 2596/356, 4029/5788 is 1/515132.