GCF of 56/39, 12/29, 986/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 56/39, 12/29, 986/474 i.e 2/178698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 56/39, 12/29, 986/474.
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 56/39,12/29,986/474?
Given fractions are 56/39,12/29,986/474
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 56/39,12/29,986/474, numerators are 56,12,986
Denominators are 39,29,474
The GCF of 56,12,986 is 2 .
LCM of 39,29,474 is 178698.
The greatest common factor of 56/39,12/29,986/474 = [GCF of 56,12,986]/[LCM of 39,29,474]= 2/178698
Therefore, the GCF of 56/39,12/29,986/474 is 2/178698.
To find the highest common factor of 56,12,986, we have to find the factors of both numbers and list the highest common factor.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986
The HCF of 56,12,986 is 2.
Lets's calculate GCF of 56,12,986
| 2 | 56, 12, 986 |
| 28, 6, 493 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 56,12,986 By Matching Biggest Common Factor Method
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 986
:1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 56,12,986 . The biggest common factor number is the GCF number.
So the greatest common factor 56,12,986 is 2.
Lets's calculate LCM of 39,29,474
| 3 | 39, 29, 474 |
| 13, 29, 158 |
∴ So the LCM of the given numbers is 3 x 13 x 29 x 158 = 178698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/178698
Therefore, the GCF of Fractions 56/39,12/29,986/474 is 2/178698
Least Common Multiple of 39,29,474 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 39,29,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,29,474) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,29,474) x common factors =1 x 3 = 3
LCM(39,29,474) = ( 39 × 29 × 474 ) / 3
LCM(39,29,474) = 536094 / 3
LCM(39,29,474) = 178698
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FAQs on GCF of Fractions of 56/39, 12/29, 986/474
1. What is the HCF of 56,12,986?
The HCF of 56,12,986 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 56/39, 12/29, 986/474?
Answer: GCF of Numerators as per given numbers 56/39, 12/29, 986/474 is
GCF of Numerators i.e. for 56,12,986 is 2
LCM of denominators i.e. for 39,29,474 is 178698.
Thus, GCF of Fractions is 2/178698.Finally, GCF of Fractions for 56/39, 12/29, 986/474 is 2/178698.