Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 648/73,767/91,957/108
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 648,767,957
Greatest Common Factor of Numerators i.e. GCF of 648,767,957 is 1 .
LCM of Denominators means LCM of 73,91,108 as per the given fractions.
LCM of 73,91,108 is 717444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 648,767,957
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 648,767,957 . The biggest common factor number is the GCF number.
So the greatest common factor 648,767,957 is 1.
Lets's calculate LCM of 73,91,108
Given numbers has no common factors except 1. So, there LCM is their product i.e 717444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717444
Therefore, the GCF of Fractions 648/73,767/91,957/108 is 1/717444
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 73,91,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,91,108) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,91,108) x common factors =1 x 1 = 1
LCM(73,91,108) = ( 73 × 91 × 108 ) / 1
LCM(73,91,108) = 717444 / 1
LCM(73,91,108) = 717444
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 648/73, 767/91, 957/108?
Answer: GCF of Numerators as per given numbers 648/73, 767/91, 957/108 is
GCF of Numerators i.e. for 648,767,957 is 1
LCM of denominators i.e. for 73,91,108 is 717444.
Thus, GCF of Fractions is 1/717444.Finally, GCF of Fractions for 648/73, 767/91, 957/108 is 1/717444.