GCF of 8518/678, 5036/5085
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8518/678, 5036/5085 i.e 2/10170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8518/678, 5036/5085.
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 8518/678,5036/5085?
Given fractions are 8518/678,5036/5085
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 8518/678,5036/5085, numerators are 8518,5036
Denominators are 678,5085
The GCF of 8518,5036 is 2 .
LCM of 678,5085 is 10170.
The greatest common factor of 8518/678,5036/5085 = [GCF of 8518,5036]/[LCM of 678,5085]= 2/10170
Therefore, the GCF of 8518/678,5036/5085 is 2/10170.
To find the highest common factor of 8518,5036, we have to find the factors of both numbers and list the highest common factor.
The factors of 8518 are 1, 2, 4259, 8518
The factors of 5036 are 1, 2, 4, 1259, 2518, 5036
The HCF of 8518,5036 is 2.
Lets's calculate GCF of 8518,5036
| 2 | 8518, 5036 |
| 4259, 2518 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8518,5036 By Matching Biggest Common Factor Method
Now, list down the factors of 8518
:1,2,4259,8518
Now, list down the factors of 5036
:1,2,4,1259,2518,5036
Greatest Common Factor
We found the factors 8518,5036 . The biggest common factor number is the GCF number.
So the greatest common factor 8518,5036 is 2.
Lets's calculate LCM of 678,5085
| 3 | 678, 5085 |
| 113 | 226, 1695 |
| 2, 15 |
∴ So the LCM of the given numbers is 3 x 113 x 2 x 15 = 10170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10170
Therefore, the GCF of Fractions 8518/678,5036/5085 is 2/10170
Least Common Multiple of 678,5085 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 678,5085 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,5085) = 339
common factors(in case of two or more numbers have common factors) = 1
GCF(678,5085) x common factors =339 x 1 = 339
LCM(678,5085) = ( 678 × 5085 ) / 339
LCM(678,5085) = 3447630 / 339
LCM(678,5085) = 10170
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FAQs on GCF of Fractions of 8518/678, 5036/5085
1. What is the HCF of 8518,5036?
The HCF of 8518,5036 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 8518/678, 5036/5085?
Answer: GCF of Numerators as per given numbers 8518/678, 5036/5085 is
GCF of Numerators i.e. for 8518,5036 is 2
LCM of denominators i.e. for 678,5085 is 10170.
Thus, GCF of Fractions is 2/10170.Finally, GCF of Fractions for 8518/678, 5036/5085 is 2/10170.