Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/52,173/55,617/62
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 5,173,617
Greatest Common Factor of Numerators i.e. GCF of 5,173,617 is 1 .
LCM of Denominators means LCM of 52,55,62 as per the given fractions.
LCM of 52,55,62 is 88660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,173,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 5,173,617 . The biggest common factor number is the GCF number.
So the greatest common factor 5,173,617 is 1.
Lets's calculate LCM of 52,55,62
2 | 52, 55, 62 |
26, 55, 31 |
∴ So the LCM of the given numbers is 2 x 26 x 55 x 31 = 88660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88660
Therefore, the GCF of Fractions 5/52,173/55,617/62 is 1/88660
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 52,55,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,55,62) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(52,55,62) x common factors =1 x 2 = 2
LCM(52,55,62) = ( 52 × 55 × 62 ) / 2
LCM(52,55,62) = 177320 / 2
LCM(52,55,62) = 88660
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 5/52, 173/55, 617/62?
Answer: GCF of Numerators as per given numbers 5/52, 173/55, 617/62 is
GCF of Numerators i.e. for 5,173,617 is 1
LCM of denominators i.e. for 52,55,62 is 88660.
Thus, GCF of Fractions is 1/88660.Finally, GCF of Fractions for 5/52, 173/55, 617/62 is 1/88660.