Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/79,24/97,164/515
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 36,24,164
Greatest Common Factor of Numerators i.e. GCF of 36,24,164 is 4 .
LCM of Denominators means LCM of 79,97,515 as per the given fractions.
LCM of 79,97,515 is 3946445 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,24,164
2 | 36, 24, 164 |
2 | 18, 12, 82 |
9, 6, 41 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Greatest Common Factor
We found the factors 36,24,164 . The biggest common factor number is the GCF number.
So the greatest common factor 36,24,164 is 4.
Lets's calculate LCM of 79,97,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 3946445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3946445
Therefore, the GCF of Fractions 36/79,24/97,164/515 is 4/3946445
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 79,97,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,97,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,97,515) x common factors =1 x 1 = 1
LCM(79,97,515) = ( 79 × 97 × 515 ) / 1
LCM(79,97,515) = 3946445 / 1
LCM(79,97,515) = 3946445
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 36/79, 24/97, 164/515?
Answer: GCF of Numerators as per given numbers 36/79, 24/97, 164/515 is
GCF of Numerators i.e. for 36,24,164 is 4
LCM of denominators i.e. for 79,97,515 is 3946445.
Thus, GCF of Fractions is 4/3946445.Finally, GCF of Fractions for 36/79, 24/97, 164/515 is 4/3946445.