GCF of 2986/683, 8242/2489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2986/683, 8242/2489 i.e 2/1699987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2986/683, 8242/2489.
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 2986/683,8242/2489?
Given fractions are 2986/683,8242/2489
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 2986/683,8242/2489, numerators are 2986,8242
Denominators are 683,2489
The GCF of 2986,8242 is 2 .
LCM of 683,2489 is 1699987.
The greatest common factor of 2986/683,8242/2489 = [GCF of 2986,8242]/[LCM of 683,2489]= 2/1699987
Therefore, the GCF of 2986/683,8242/2489 is 2/1699987.
To find the highest common factor of 2986,8242, we have to find the factors of both numbers and list the highest common factor.
The factors of 2986 are 1, 2, 1493, 2986
The factors of 8242 are 1, 2, 13, 26, 317, 634, 4121, 8242
The HCF of 2986,8242 is 2.
Lets's calculate GCF of 2986,8242
| 2 | 2986, 8242 |
| 1493, 4121 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2986,8242 By Matching Biggest Common Factor Method
Now, list down the factors of 2986
:1,2,1493,2986
Now, list down the factors of 8242
:1,2,13,26,317,634,4121,8242
Greatest Common Factor
We found the factors 2986,8242 . The biggest common factor number is the GCF number.
So the greatest common factor 2986,8242 is 2.
Lets's calculate LCM of 683,2489
Given numbers has no common factors except 1. So, there LCM is their product i.e 1699987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1699987
Therefore, the GCF of Fractions 2986/683,8242/2489 is 2/1699987
Least Common Multiple of 683,2489 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 683,2489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,2489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,2489) x common factors =1 x 1 = 1
LCM(683,2489) = ( 683 × 2489 ) / 1
LCM(683,2489) = 1699987 / 1
LCM(683,2489) = 1699987
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FAQs on GCF of Fractions of 2986/683, 8242/2489
1. What is the HCF of 2986,8242?
The HCF of 2986,8242 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 2986/683, 8242/2489?
Answer: GCF of Numerators as per given numbers 2986/683, 8242/2489 is
GCF of Numerators i.e. for 2986,8242 is 2
LCM of denominators i.e. for 683,2489 is 1699987.
Thus, GCF of Fractions is 2/1699987.Finally, GCF of Fractions for 2986/683, 8242/2489 is 2/1699987.