Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/13,36/461,84/664
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 1,36,84
Greatest Common Factor of Numerators i.e. GCF of 1,36,84 is 1 .
LCM of Denominators means LCM of 13,461,664 as per the given fractions.
LCM of 13,461,664 is 3979352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,36,84
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
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 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Greatest Common Factor
We found the factors 1,36,84 . The biggest common factor number is the GCF number.
So the greatest common factor 1,36,84 is 1.
Lets's calculate LCM of 13,461,664
Given numbers has no common factors except 1. So, there LCM is their product i.e 3979352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3979352
Therefore, the GCF of Fractions 1/13,36/461,84/664 is 1/3979352
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 13,461,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,461,664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,461,664) x common factors =1 x 1 = 1
LCM(13,461,664) = ( 13 × 461 × 664 ) / 1
LCM(13,461,664) = 3979352 / 1
LCM(13,461,664) = 3979352
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 1/13, 36/461, 84/664?
Answer: GCF of Numerators as per given numbers 1/13, 36/461, 84/664 is
GCF of Numerators i.e. for 1,36,84 is 1
LCM of denominators i.e. for 13,461,664 is 3979352.
Thus, GCF of Fractions is 1/3979352.Finally, GCF of Fractions for 1/13, 36/461, 84/664 is 1/3979352.