Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/734,75/503,914/177
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 12,75,914
Greatest Common Factor of Numerators i.e. GCF of 12,75,914 is 1 .
LCM of Denominators means LCM of 734,503,177 as per the given fractions.
LCM of 734,503,177 is 65348754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,75,914
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 12,75,914 . The biggest common factor number is the GCF number.
So the greatest common factor 12,75,914 is 1.
Lets's calculate LCM of 734,503,177
Given numbers has no common factors except 1. So, there LCM is their product i.e 65348754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65348754
Therefore, the GCF of Fractions 12/734,75/503,914/177 is 1/65348754
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 734,503,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,503,177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,503,177) x common factors =1 x 1 = 1
LCM(734,503,177) = ( 734 × 503 × 177 ) / 1
LCM(734,503,177) = 65348754 / 1
LCM(734,503,177) = 65348754
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 12/734, 75/503, 914/177?
Answer: GCF of Numerators as per given numbers 12/734, 75/503, 914/177 is
GCF of Numerators i.e. for 12,75,914 is 1
LCM of denominators i.e. for 734,503,177 is 65348754.
Thus, GCF of Fractions is 1/65348754.Finally, GCF of Fractions for 12/734, 75/503, 914/177 is 1/65348754.