GCF of 8686/534, 3114/1012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8686/534, 3114/1012 i.e 2/270204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8686/534, 3114/1012.
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 8686/534,3114/1012?
Given fractions are 8686/534,3114/1012
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 8686/534,3114/1012, numerators are 8686,3114
Denominators are 534,1012
The GCF of 8686,3114 is 2 .
LCM of 534,1012 is 270204.
The greatest common factor of 8686/534,3114/1012 = [GCF of 8686,3114]/[LCM of 534,1012]= 2/270204
Therefore, the GCF of 8686/534,3114/1012 is 2/270204.
To find the highest common factor of 8686,3114, we have to find the factors of both numbers and list the highest common factor.
The factors of 8686 are 1, 2, 43, 86, 101, 202, 4343, 8686
The factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114
The HCF of 8686,3114 is 2.
Lets's calculate GCF of 8686,3114
| 2 | 8686, 3114 |
| 4343, 1557 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8686,3114 By Matching Biggest Common Factor Method
Now, list down the factors of 8686
:1,2,43,86,101,202,4343,8686
Now, list down the factors of 3114
:1,2,3,6,9,18,173,346,519,1038,1557,3114
Greatest Common Factor
We found the factors 8686,3114 . The biggest common factor number is the GCF number.
So the greatest common factor 8686,3114 is 2.
Lets's calculate LCM of 534,1012
| 2 | 534, 1012 |
| 267, 506 |
∴ So the LCM of the given numbers is 2 x 267 x 506 = 270204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/270204
Therefore, the GCF of Fractions 8686/534,3114/1012 is 2/270204
Least Common Multiple of 534,1012 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 534,1012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,1012) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(534,1012) x common factors =2 x 1 = 2
LCM(534,1012) = ( 534 × 1012 ) / 2
LCM(534,1012) = 540408 / 2
LCM(534,1012) = 270204
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8686/534, 3114/1012
1. What is the HCF of 8686,3114?
The HCF of 8686,3114 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 8686/534, 3114/1012?
Answer: GCF of Numerators as per given numbers 8686/534, 3114/1012 is
GCF of Numerators i.e. for 8686,3114 is 2
LCM of denominators i.e. for 534,1012 is 270204.
Thus, GCF of Fractions is 2/270204.Finally, GCF of Fractions for 8686/534, 3114/1012 is 2/270204.