Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8630/262,9064/318
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 8630,9064
Greatest Common Factor of Numerators i.e. GCF of 8630,9064 is 2 .
LCM of Denominators means LCM of 262,318 as per the given fractions.
LCM of 262,318 is 41658 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8630,9064
2 | 8630, 9064 |
4315, 4532 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8630
List of positive integer factors of 8630 that divides 8630 without a remainder.
1,2,5,10,863,1726,4315,8630
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 8630,9064 . The biggest common factor number is the GCF number.
So the greatest common factor 8630,9064 is 2.
Lets's calculate LCM of 262,318
2 | 262, 318 |
131, 159 |
∴ So the LCM of the given numbers is 2 x 131 x 159 = 41658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41658
Therefore, the GCF of Fractions 8630/262,9064/318 is 2/41658
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 262,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,318) x common factors =2 x 1 = 2
LCM(262,318) = ( 262 × 318 ) / 2
LCM(262,318) = 83316 / 2
LCM(262,318) = 41658
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 8630/262, 9064/318?
Answer: GCF of Numerators as per given numbers 8630/262, 9064/318 is
GCF of Numerators i.e. for 8630,9064 is 2
LCM of denominators i.e. for 262,318 is 41658.
Thus, GCF of Fractions is 2/41658.Finally, GCF of Fractions for 8630/262, 9064/318 is 2/41658.