Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/97,45/85,75/73,81/76
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 87,45,75,81
Greatest Common Factor of Numerators i.e. GCF of 87,45,75,81 is 3 .
LCM of Denominators means LCM of 97,85,73,76 as per the given fractions.
LCM of 97,85,73,76 is 45743260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,45,75,81
3 | 87, 45, 75, 81 |
29, 15, 25, 27 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Greatest Common Factor
We found the factors 87,45,75,81 . The biggest common factor number is the GCF number.
So the greatest common factor 87,45,75,81 is 3.
Lets's calculate LCM of 97,85,73,76
Given numbers has no common factors except 1. So, there LCM is their product i.e 45743260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45743260
Therefore, the GCF of Fractions 87/97,45/85,75/73,81/76 is 3/45743260
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 97,85,73,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,85,73,76) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,85,73,76) x common factors =1 x 1 = 1
LCM(97,85,73,76) = ( 97 × 85 × 73 × 76 ) / 1
LCM(97,85,73,76) = 45743260 / 1
LCM(97,85,73,76) = 45743260
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 87/97, 45/85, 75/73, 81/76?
Answer: GCF of Numerators as per given numbers 87/97, 45/85, 75/73, 81/76 is
GCF of Numerators i.e. for 87,45,75,81 is 3
LCM of denominators i.e. for 97,85,73,76 is 45743260.
Thus, GCF of Fractions is 3/45743260.Finally, GCF of Fractions for 87/97, 45/85, 75/73, 81/76 is 3/45743260.