Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/36,156/52,134/722
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 73,156,134
Greatest Common Factor of Numerators i.e. GCF of 73,156,134 is 1 .
LCM of Denominators means LCM of 36,52,722 as per the given fractions.
LCM of 36,52,722 is 168948 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,156,134
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 73,156,134 . The biggest common factor number is the GCF number.
So the greatest common factor 73,156,134 is 1.
Lets's calculate LCM of 36,52,722
2 | 36, 52, 722 |
2 | 18, 26, 361 |
9, 13, 361 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 13 x 361 = 168948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168948
Therefore, the GCF of Fractions 73/36,156/52,134/722 is 1/168948
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 36,52,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,52,722) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(36,52,722) x common factors =2 x 4 = 8
LCM(36,52,722) = ( 36 × 52 × 722 ) / 8
LCM(36,52,722) = 1351584 / 8
LCM(36,52,722) = 168948
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 73/36, 156/52, 134/722?
Answer: GCF of Numerators as per given numbers 73/36, 156/52, 134/722 is
GCF of Numerators i.e. for 73,156,134 is 1
LCM of denominators i.e. for 36,52,722 is 168948.
Thus, GCF of Fractions is 1/168948.Finally, GCF of Fractions for 73/36, 156/52, 134/722 is 1/168948.