Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/60,666/44,340/34
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 8,666,340
Greatest Common Factor of Numerators i.e. GCF of 8,666,340 is 2 .
LCM of Denominators means LCM of 60,44,34 as per the given fractions.
LCM of 60,44,34 is 11220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,666,340
2 | 8, 666, 340 |
4, 333, 170 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 8,666,340 . The biggest common factor number is the GCF number.
So the greatest common factor 8,666,340 is 2.
Lets's calculate LCM of 60,44,34
2 | 60, 44, 34 |
2 | 30, 22, 17 |
15, 11, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 15 x 11 x 17 = 11220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11220
Therefore, the GCF of Fractions 8/60,666/44,340/34 is 2/11220
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 60,44,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,44,34) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(60,44,34) x common factors =2 x 4 = 8
LCM(60,44,34) = ( 60 × 44 × 34 ) / 8
LCM(60,44,34) = 89760 / 8
LCM(60,44,34) = 11220
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 8/60, 666/44, 340/34?
Answer: GCF of Numerators as per given numbers 8/60, 666/44, 340/34 is
GCF of Numerators i.e. for 8,666,340 is 2
LCM of denominators i.e. for 60,44,34 is 11220.
Thus, GCF of Fractions is 2/11220.Finally, GCF of Fractions for 8/60, 666/44, 340/34 is 2/11220.