Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/70,36/47,634/351
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 11,36,634
Greatest Common Factor of Numerators i.e. GCF of 11,36,634 is 1 .
LCM of Denominators means LCM of 70,47,351 as per the given fractions.
LCM of 70,47,351 is 1154790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,36,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 11,36,634 . The biggest common factor number is the GCF number.
So the greatest common factor 11,36,634 is 1.
Lets's calculate LCM of 70,47,351
Given numbers has no common factors except 1. So, there LCM is their product i.e 1154790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1154790
Therefore, the GCF of Fractions 11/70,36/47,634/351 is 1/1154790
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 70,47,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,47,351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,47,351) x common factors =1 x 1 = 1
LCM(70,47,351) = ( 70 × 47 × 351 ) / 1
LCM(70,47,351) = 1154790 / 1
LCM(70,47,351) = 1154790
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 11/70, 36/47, 634/351?
Answer: GCF of Numerators as per given numbers 11/70, 36/47, 634/351 is
GCF of Numerators i.e. for 11,36,634 is 1
LCM of denominators i.e. for 70,47,351 is 1154790.
Thus, GCF of Fractions is 1/1154790.Finally, GCF of Fractions for 11/70, 36/47, 634/351 is 1/1154790.