Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 147/60,823/77,672/73
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 147,823,672
Greatest Common Factor of Numerators i.e. GCF of 147,823,672 is 1 .
LCM of Denominators means LCM of 60,77,73 as per the given fractions.
LCM of 60,77,73 is 337260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 147,823,672
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 147,823,672 . The biggest common factor number is the GCF number.
So the greatest common factor 147,823,672 is 1.
Lets's calculate LCM of 60,77,73
Given numbers has no common factors except 1. So, there LCM is their product i.e 337260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337260
Therefore, the GCF of Fractions 147/60,823/77,672/73 is 1/337260
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 60,77,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,77,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,77,73) x common factors =1 x 1 = 1
LCM(60,77,73) = ( 60 × 77 × 73 ) / 1
LCM(60,77,73) = 337260 / 1
LCM(60,77,73) = 337260
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 147/60, 823/77, 672/73?
Answer: GCF of Numerators as per given numbers 147/60, 823/77, 672/73 is
GCF of Numerators i.e. for 147,823,672 is 1
LCM of denominators i.e. for 60,77,73 is 337260.
Thus, GCF of Fractions is 1/337260.Finally, GCF of Fractions for 147/60, 823/77, 672/73 is 1/337260.