Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/66,62/79,657/89
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 17,62,657
Greatest Common Factor of Numerators i.e. GCF of 17,62,657 is 1 .
LCM of Denominators means LCM of 66,79,89 as per the given fractions.
LCM of 66,79,89 is 464046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 17,62,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Greatest Common Factor
We found the factors 17,62,657 . The biggest common factor number is the GCF number.
So the greatest common factor 17,62,657 is 1.
Lets's calculate LCM of 66,79,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 464046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464046
Therefore, the GCF of Fractions 17/66,62/79,657/89 is 1/464046
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 66,79,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,79,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,79,89) x common factors =1 x 1 = 1
LCM(66,79,89) = ( 66 × 79 × 89 ) / 1
LCM(66,79,89) = 464046 / 1
LCM(66,79,89) = 464046
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 17/66, 62/79, 657/89?
Answer: GCF of Numerators as per given numbers 17/66, 62/79, 657/89 is
GCF of Numerators i.e. for 17,62,657 is 1
LCM of denominators i.e. for 66,79,89 is 464046.
Thus, GCF of Fractions is 1/464046.Finally, GCF of Fractions for 17/66, 62/79, 657/89 is 1/464046.