GCF of 986/39, 206/3151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 986/39, 206/3151 i.e 2/122889 easily. The following is the detailed procedure to determine the greatest common factor of fractions 986/39, 206/3151.
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 986/39,206/3151?
Given fractions are 986/39,206/3151
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 986/39,206/3151, numerators are 986,206
Denominators are 39,3151
The GCF of 986,206 is 2 .
LCM of 39,3151 is 122889.
The greatest common factor of 986/39,206/3151 = [GCF of 986,206]/[LCM of 39,3151]= 2/122889
Therefore, the GCF of 986/39,206/3151 is 2/122889.
To find the highest common factor of 986,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986
The factors of 206 are 1, 2, 103, 206
The HCF of 986,206 is 2.
Lets's calculate GCF of 986,206
| 2 | 986, 206 |
| 493, 103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 986,206 By Matching Biggest Common Factor Method
Now, list down the factors of 986
:1,2,17,29,34,58,493,986
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 986,206 . The biggest common factor number is the GCF number.
So the greatest common factor 986,206 is 2.
Lets's calculate LCM of 39,3151
Given numbers has no common factors except 1. So, there LCM is their product i.e 122889
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122889
Therefore, the GCF of Fractions 986/39,206/3151 is 2/122889
Least Common Multiple of 39,3151 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 39,3151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,3151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,3151) x common factors =1 x 1 = 1
LCM(39,3151) = ( 39 × 3151 ) / 1
LCM(39,3151) = 122889 / 1
LCM(39,3151) = 122889
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FAQs on GCF of Fractions of 986/39, 206/3151
1. What is the HCF of 986,206?
The HCF of 986,206 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 986/39, 206/3151?
Answer: GCF of Numerators as per given numbers 986/39, 206/3151 is
GCF of Numerators i.e. for 986,206 is 2
LCM of denominators i.e. for 39,3151 is 122889.
Thus, GCF of Fractions is 2/122889.Finally, GCF of Fractions for 986/39, 206/3151 is 2/122889.