Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/59,86/75,68/32,64/161
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 92,86,68,64
Greatest Common Factor of Numerators i.e. GCF of 92,86,68,64 is 2 .
LCM of Denominators means LCM of 59,75,32,161 as per the given fractions.
LCM of 59,75,32,161 is 22797600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,86,68,64
2 | 92, 86, 68, 64 |
46, 43, 34, 32 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Greatest Common Factor
We found the factors 92,86,68,64 . The biggest common factor number is the GCF number.
So the greatest common factor 92,86,68,64 is 2.
Lets's calculate LCM of 59,75,32,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 22797600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22797600
Therefore, the GCF of Fractions 92/59,86/75,68/32,64/161 is 2/22797600
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 59,75,32,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,75,32,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,75,32,161) x common factors =1 x 1 = 1
LCM(59,75,32,161) = ( 59 × 75 × 32 × 161 ) / 1
LCM(59,75,32,161) = 22797600 / 1
LCM(59,75,32,161) = 22797600
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 92/59, 86/75, 68/32, 64/161?
Answer: GCF of Numerators as per given numbers 92/59, 86/75, 68/32, 64/161 is
GCF of Numerators i.e. for 92,86,68,64 is 2
LCM of denominators i.e. for 59,75,32,161 is 22797600.
Thus, GCF of Fractions is 2/22797600.Finally, GCF of Fractions for 92/59, 86/75, 68/32, 64/161 is 2/22797600.