Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7086/471,9064/1834
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 7086,9064
Greatest Common Factor of Numerators i.e. GCF of 7086,9064 is 2 .
LCM of Denominators means LCM of 471,1834 as per the given fractions.
LCM of 471,1834 is 863814 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7086,9064
2 | 7086, 9064 |
3543, 4532 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7086
List of positive integer factors of 7086 that divides 7086 without a remainder.
1,2,3,6,1181,2362,3543,7086
Factors of 9064
List of positive integer factors of 9064 that divides 9064 without a remainder.
1,2,4,8,11,22,44,88,103,206,412,824,1133,2266,4532,9064
Greatest Common Factor
We found the factors 7086,9064 . The biggest common factor number is the GCF number.
So the greatest common factor 7086,9064 is 2.
Lets's calculate LCM of 471,1834
Given numbers has no common factors except 1. So, there LCM is their product i.e 863814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/863814
Therefore, the GCF of Fractions 7086/471,9064/1834 is 2/863814
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 471,1834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,1834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,1834) x common factors =1 x 1 = 1
LCM(471,1834) = ( 471 × 1834 ) / 1
LCM(471,1834) = 863814 / 1
LCM(471,1834) = 863814
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 7086/471, 9064/1834?
Answer: GCF of Numerators as per given numbers 7086/471, 9064/1834 is
GCF of Numerators i.e. for 7086,9064 is 2
LCM of denominators i.e. for 471,1834 is 863814.
Thus, GCF of Fractions is 2/863814.Finally, GCF of Fractions for 7086/471, 9064/1834 is 2/863814.