Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 631/73,164/62,712/193
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 631,164,712
Greatest Common Factor of Numerators i.e. GCF of 631,164,712 is 1 .
LCM of Denominators means LCM of 73,62,193 as per the given fractions.
LCM of 73,62,193 is 873518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 631,164,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 631,164,712 . The biggest common factor number is the GCF number.
So the greatest common factor 631,164,712 is 1.
Lets's calculate LCM of 73,62,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 873518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/873518
Therefore, the GCF of Fractions 631/73,164/62,712/193 is 1/873518
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 73,62,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,62,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,62,193) x common factors =1 x 1 = 1
LCM(73,62,193) = ( 73 × 62 × 193 ) / 1
LCM(73,62,193) = 873518 / 1
LCM(73,62,193) = 873518
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 631/73, 164/62, 712/193?
Answer: GCF of Numerators as per given numbers 631/73, 164/62, 712/193 is
GCF of Numerators i.e. for 631,164,712 is 1
LCM of denominators i.e. for 73,62,193 is 873518.
Thus, GCF of Fractions is 1/873518.Finally, GCF of Fractions for 631/73, 164/62, 712/193 is 1/873518.