Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/73,10/25,465/74
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 80,10,465
Greatest Common Factor of Numerators i.e. GCF of 80,10,465 is 5 .
LCM of Denominators means LCM of 73,25,74 as per the given fractions.
LCM of 73,25,74 is 135050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,10,465
5 | 80, 10, 465 |
16, 2, 93 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 80,10,465 . The biggest common factor number is the GCF number.
So the greatest common factor 80,10,465 is 5.
Lets's calculate LCM of 73,25,74
Given numbers has no common factors except 1. So, there LCM is their product i.e 135050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/135050
Therefore, the GCF of Fractions 80/73,10/25,465/74 is 5/135050
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 73,25,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,25,74) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,25,74) x common factors =1 x 1 = 1
LCM(73,25,74) = ( 73 × 25 × 74 ) / 1
LCM(73,25,74) = 135050 / 1
LCM(73,25,74) = 135050
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 80/73, 10/25, 465/74?
Answer: GCF of Numerators as per given numbers 80/73, 10/25, 465/74 is
GCF of Numerators i.e. for 80,10,465 is 5
LCM of denominators i.e. for 73,25,74 is 135050.
Thus, GCF of Fractions is 5/135050.Finally, GCF of Fractions for 80/73, 10/25, 465/74 is 5/135050.