GCF of 5556/717, 3612/4389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5556/717, 3612/4389 i.e 12/1048971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5556/717, 3612/4389.
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 5556/717,3612/4389?
Given fractions are 5556/717,3612/4389
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 5556/717,3612/4389, numerators are 5556,3612
Denominators are 717,4389
The GCF of 5556,3612 is 12 .
LCM of 717,4389 is 1048971.
The greatest common factor of 5556/717,3612/4389 = [GCF of 5556,3612]/[LCM of 717,4389]= 12/1048971
Therefore, the GCF of 5556/717,3612/4389 is 12/1048971.
To find the highest common factor of 5556,3612, we have to find the factors of both numbers and list the highest common factor.
The factors of 5556 are 1, 2, 3, 4, 6, 12, 463, 926, 1389, 1852, 2778, 5556
The factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612
The HCF of 5556,3612 is 12.
Lets's calculate GCF of 5556,3612
| 2 | 5556, 3612 |
| 2 | 2778, 1806 |
| 3 | 1389, 903 |
| 463, 301 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5556,3612 By Matching Biggest Common Factor Method
Now, list down the factors of 5556
:1,2,3,4,6,12,463,926,1389,1852,2778,5556
Now, list down the factors of 3612
:1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612
Greatest Common Factor
We found the factors 5556,3612 . The biggest common factor number is the GCF number.
So the greatest common factor 5556,3612 is 12.
Lets's calculate LCM of 717,4389
| 3 | 717, 4389 |
| 239, 1463 |
∴ So the LCM of the given numbers is 3 x 239 x 1463 = 1048971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1048971
Therefore, the GCF of Fractions 5556/717,3612/4389 is 12/1048971
Least Common Multiple of 717,4389 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 717,4389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,4389) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,4389) x common factors =3 x 1 = 3
LCM(717,4389) = ( 717 × 4389 ) / 3
LCM(717,4389) = 3146913 / 3
LCM(717,4389) = 1048971
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FAQs on GCF of Fractions of 5556/717, 3612/4389
1. What is the HCF of 5556,3612?
The HCF of 5556,3612 is 12
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 5556/717, 3612/4389?
Answer: GCF of Numerators as per given numbers 5556/717, 3612/4389 is
GCF of Numerators i.e. for 5556,3612 is 12
LCM of denominators i.e. for 717,4389 is 1048971.
Thus, GCF of Fractions is 12/1048971.Finally, GCF of Fractions for 5556/717, 3612/4389 is 12/1048971.