Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 703/34,218/48,620/173
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 703,218,620
Greatest Common Factor of Numerators i.e. GCF of 703,218,620 is 1 .
LCM of Denominators means LCM of 34,48,173 as per the given fractions.
LCM of 34,48,173 is 141168 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 703,218,620
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 703,218,620 . The biggest common factor number is the GCF number.
So the greatest common factor 703,218,620 is 1.
Lets's calculate LCM of 34,48,173
2 | 34, 48, 173 |
17, 24, 173 |
∴ So the LCM of the given numbers is 2 x 17 x 24 x 173 = 141168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141168
Therefore, the GCF of Fractions 703/34,218/48,620/173 is 1/141168
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 34,48,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,48,173) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,48,173) x common factors =1 x 2 = 2
LCM(34,48,173) = ( 34 × 48 × 173 ) / 2
LCM(34,48,173) = 282336 / 2
LCM(34,48,173) = 141168
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 703/34, 218/48, 620/173?
Answer: GCF of Numerators as per given numbers 703/34, 218/48, 620/173 is
GCF of Numerators i.e. for 703,218,620 is 1
LCM of denominators i.e. for 34,48,173 is 141168.
Thus, GCF of Fractions is 1/141168.Finally, GCF of Fractions for 703/34, 218/48, 620/173 is 1/141168.