Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/27,51/211,122/997
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 69,51,122
Greatest Common Factor of Numerators i.e. GCF of 69,51,122 is 1 .
LCM of Denominators means LCM of 27,211,997 as per the given fractions.
LCM of 27,211,997 is 5679909 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,51,122
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 69,51,122 . The biggest common factor number is the GCF number.
So the greatest common factor 69,51,122 is 1.
Lets's calculate LCM of 27,211,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 5679909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5679909
Therefore, the GCF of Fractions 69/27,51/211,122/997 is 1/5679909
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 27,211,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,211,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,211,997) x common factors =1 x 1 = 1
LCM(27,211,997) = ( 27 × 211 × 997 ) / 1
LCM(27,211,997) = 5679909 / 1
LCM(27,211,997) = 5679909
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 69/27, 51/211, 122/997?
Answer: GCF of Numerators as per given numbers 69/27, 51/211, 122/997 is
GCF of Numerators i.e. for 69,51,122 is 1
LCM of denominators i.e. for 27,211,997 is 5679909.
Thus, GCF of Fractions is 1/5679909.Finally, GCF of Fractions for 69/27, 51/211, 122/997 is 1/5679909.