GCF of 5610/596, 2612/745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5610/596, 2612/745 i.e 2/2980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5610/596, 2612/745.
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 5610/596,2612/745?
Given fractions are 5610/596,2612/745
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 5610/596,2612/745, numerators are 5610,2612
Denominators are 596,745
The GCF of 5610,2612 is 2 .
LCM of 596,745 is 2980.
The greatest common factor of 5610/596,2612/745 = [GCF of 5610,2612]/[LCM of 596,745]= 2/2980
Therefore, the GCF of 5610/596,2612/745 is 2/2980.
To find the highest common factor of 5610,2612, we have to find the factors of both numbers and list the highest common factor.
The factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610
The factors of 2612 are 1, 2, 4, 653, 1306, 2612
The HCF of 5610,2612 is 2.
Lets's calculate GCF of 5610,2612
| 2 | 5610, 2612 |
| 2805, 1306 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5610,2612 By Matching Biggest Common Factor Method
Now, list down the factors of 5610
:1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Now, list down the factors of 2612
:1,2,4,653,1306,2612
Greatest Common Factor
We found the factors 5610,2612 . The biggest common factor number is the GCF number.
So the greatest common factor 5610,2612 is 2.
Lets's calculate LCM of 596,745
| 149 | 596, 745 |
| 4, 5 |
∴ So the LCM of the given numbers is 149 x 4 x 5 = 2980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2980
Therefore, the GCF of Fractions 5610/596,2612/745 is 2/2980
Least Common Multiple of 596,745 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 596,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,745) = 149
common factors(in case of two or more numbers have common factors) = 1
GCF(596,745) x common factors =149 x 1 = 149
LCM(596,745) = ( 596 × 745 ) / 149
LCM(596,745) = 444020 / 149
LCM(596,745) = 2980
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FAQs on GCF of Fractions of 5610/596, 2612/745
1. What is the HCF of 5610,2612?
The HCF of 5610,2612 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 5610/596, 2612/745?
Answer: GCF of Numerators as per given numbers 5610/596, 2612/745 is
GCF of Numerators i.e. for 5610,2612 is 2
LCM of denominators i.e. for 596,745 is 2980.
Thus, GCF of Fractions is 2/2980.Finally, GCF of Fractions for 5610/596, 2612/745 is 2/2980.