Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/505,706/421,174/419
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 93,706,174
Greatest Common Factor of Numerators i.e. GCF of 93,706,174 is 1 .
LCM of Denominators means LCM of 505,421,419 as per the given fractions.
LCM of 505,421,419 is 89081495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,706,174
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 93,706,174 . The biggest common factor number is the GCF number.
So the greatest common factor 93,706,174 is 1.
Lets's calculate LCM of 505,421,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 89081495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89081495
Therefore, the GCF of Fractions 93/505,706/421,174/419 is 1/89081495
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 505,421,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,421,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,421,419) x common factors =1 x 1 = 1
LCM(505,421,419) = ( 505 × 421 × 419 ) / 1
LCM(505,421,419) = 89081495 / 1
LCM(505,421,419) = 89081495
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 93/505, 706/421, 174/419?
Answer: GCF of Numerators as per given numbers 93/505, 706/421, 174/419 is
GCF of Numerators i.e. for 93,706,174 is 1
LCM of denominators i.e. for 505,421,419 is 89081495.
Thus, GCF of Fractions is 1/89081495.Finally, GCF of Fractions for 93/505, 706/421, 174/419 is 1/89081495.