Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 937/73,314/29,601/478
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 937,314,601
Greatest Common Factor of Numerators i.e. GCF of 937,314,601 is 1 .
LCM of Denominators means LCM of 73,29,478 as per the given fractions.
LCM of 73,29,478 is 1011926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 937,314,601
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Greatest Common Factor
We found the factors 937,314,601 . The biggest common factor number is the GCF number.
So the greatest common factor 937,314,601 is 1.
Lets's calculate LCM of 73,29,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 1011926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1011926
Therefore, the GCF of Fractions 937/73,314/29,601/478 is 1/1011926
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 73,29,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,29,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,29,478) x common factors =1 x 1 = 1
LCM(73,29,478) = ( 73 × 29 × 478 ) / 1
LCM(73,29,478) = 1011926 / 1
LCM(73,29,478) = 1011926
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 937/73, 314/29, 601/478?
Answer: GCF of Numerators as per given numbers 937/73, 314/29, 601/478 is
GCF of Numerators i.e. for 937,314,601 is 1
LCM of denominators i.e. for 73,29,478 is 1011926.
Thus, GCF of Fractions is 1/1011926.Finally, GCF of Fractions for 937/73, 314/29, 601/478 is 1/1011926.