Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/71,20/65,490/832
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 86,20,490
Greatest Common Factor of Numerators i.e. GCF of 86,20,490 is 2 .
LCM of Denominators means LCM of 71,65,832 as per the given fractions.
LCM of 71,65,832 is 295360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,20,490
2 | 86, 20, 490 |
43, 10, 245 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 86,20,490 . The biggest common factor number is the GCF number.
So the greatest common factor 86,20,490 is 2.
Lets's calculate LCM of 71,65,832
13 | 71, 65, 832 |
71, 5, 64 |
∴ So the LCM of the given numbers is 13 x 71 x 5 x 64 = 295360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/295360
Therefore, the GCF of Fractions 86/71,20/65,490/832 is 2/295360
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 71,65,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,65,832) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(71,65,832) x common factors =1 x 13 = 13
LCM(71,65,832) = ( 71 × 65 × 832 ) / 13
LCM(71,65,832) = 3839680 / 13
LCM(71,65,832) = 295360
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 86/71, 20/65, 490/832?
Answer: GCF of Numerators as per given numbers 86/71, 20/65, 490/832 is
GCF of Numerators i.e. for 86,20,490 is 2
LCM of denominators i.e. for 71,65,832 is 295360.
Thus, GCF of Fractions is 2/295360.Finally, GCF of Fractions for 86/71, 20/65, 490/832 is 2/295360.