GCF of 5606/213, 2712/5986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5606/213, 2712/5986 i.e 2/1275018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5606/213, 2712/5986.
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 5606/213,2712/5986?
Given fractions are 5606/213,2712/5986
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 5606/213,2712/5986, numerators are 5606,2712
Denominators are 213,5986
The GCF of 5606,2712 is 2 .
LCM of 213,5986 is 1275018.
The greatest common factor of 5606/213,2712/5986 = [GCF of 5606,2712]/[LCM of 213,5986]= 2/1275018
Therefore, the GCF of 5606/213,2712/5986 is 2/1275018.
To find the highest common factor of 5606,2712, we have to find the factors of both numbers and list the highest common factor.
The factors of 5606 are 1, 2, 2803, 5606
The factors of 2712 are 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712
The HCF of 5606,2712 is 2.
Lets's calculate GCF of 5606,2712
| 2 | 5606, 2712 |
| 2803, 1356 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5606,2712 By Matching Biggest Common Factor Method
Now, list down the factors of 5606
:1,2,2803,5606
Now, list down the factors of 2712
:1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712
Greatest Common Factor
We found the factors 5606,2712 . The biggest common factor number is the GCF number.
So the greatest common factor 5606,2712 is 2.
Lets's calculate LCM of 213,5986
Given numbers has no common factors except 1. So, there LCM is their product i.e 1275018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1275018
Therefore, the GCF of Fractions 5606/213,2712/5986 is 2/1275018
Least Common Multiple of 213,5986 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 213,5986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,5986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,5986) x common factors =1 x 1 = 1
LCM(213,5986) = ( 213 × 5986 ) / 1
LCM(213,5986) = 1275018 / 1
LCM(213,5986) = 1275018
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FAQs on GCF of Fractions of 5606/213, 2712/5986
1. What is the HCF of 5606,2712?
The HCF of 5606,2712 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 5606/213, 2712/5986?
Answer: GCF of Numerators as per given numbers 5606/213, 2712/5986 is
GCF of Numerators i.e. for 5606,2712 is 2
LCM of denominators i.e. for 213,5986 is 1275018.
Thus, GCF of Fractions is 2/1275018.Finally, GCF of Fractions for 5606/213, 2712/5986 is 2/1275018.