Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/77,68/68,97/65,20/27
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 90,68,97,20
Greatest Common Factor of Numerators i.e. GCF of 90,68,97,20 is 1 .
LCM of Denominators means LCM of 77,68,65,27 as per the given fractions.
LCM of 77,68,65,27 is 9189180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,68,97,20
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Greatest Common Factor
We found the factors 90,68,97,20 . The biggest common factor number is the GCF number.
So the greatest common factor 90,68,97,20 is 1.
Lets's calculate LCM of 77,68,65,27
Given numbers has no common factors except 1. So, there LCM is their product i.e 9189180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9189180
Therefore, the GCF of Fractions 90/77,68/68,97/65,20/27 is 1/9189180
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 77,68,65,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,68,65,27) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,68,65,27) x common factors =1 x 1 = 1
LCM(77,68,65,27) = ( 77 × 68 × 65 × 27 ) / 1
LCM(77,68,65,27) = 9189180 / 1
LCM(77,68,65,27) = 9189180
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 90/77, 68/68, 97/65, 20/27?
Answer: GCF of Numerators as per given numbers 90/77, 68/68, 97/65, 20/27 is
GCF of Numerators i.e. for 90,68,97,20 is 1
LCM of denominators i.e. for 77,68,65,27 is 9189180.
Thus, GCF of Fractions is 1/9189180.Finally, GCF of Fractions for 90/77, 68/68, 97/65, 20/27 is 1/9189180.