Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/734,4567/1607
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 60,4567
Greatest Common Factor of Numerators i.e. GCF of 60,4567 is 1 .
LCM of Denominators means LCM of 734,1607 as per the given fractions.
LCM of 734,1607 is 1179538 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,4567
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 4567
List of positive integer factors of 4567 that divides 4567 without a remainder.
1,4567
Greatest Common Factor
We found the factors 60,4567 . The biggest common factor number is the GCF number.
So the greatest common factor 60,4567 is 1.
Lets's calculate LCM of 734,1607
Given numbers has no common factors except 1. So, there LCM is their product i.e 1179538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1179538
Therefore, the GCF of Fractions 60/734,4567/1607 is 1/1179538
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 734,1607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,1607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,1607) x common factors =1 x 1 = 1
LCM(734,1607) = ( 734 × 1607 ) / 1
LCM(734,1607) = 1179538 / 1
LCM(734,1607) = 1179538
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 60/734, 4567/1607?
Answer: GCF of Numerators as per given numbers 60/734, 4567/1607 is
GCF of Numerators i.e. for 60,4567 is 1
LCM of denominators i.e. for 734,1607 is 1179538.
Thus, GCF of Fractions is 1/1179538.Finally, GCF of Fractions for 60/734, 4567/1607 is 1/1179538.