Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/84,74/23,79/32,64/37
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 13,74,79,64
Greatest Common Factor of Numerators i.e. GCF of 13,74,79,64 is 1 .
LCM of Denominators means LCM of 84,23,32,37 as per the given fractions.
LCM of 84,23,32,37 is 571872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,74,79,64
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Greatest Common Factor
We found the factors 13,74,79,64 . The biggest common factor number is the GCF number.
So the greatest common factor 13,74,79,64 is 1.
Lets's calculate LCM of 84,23,32,37
2 | 84, 23, 32, 37 |
2 | 42, 23, 16, 37 |
21, 23, 8, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 21 x 23 x 8 x 37 = 571872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/571872
Therefore, the GCF of Fractions 13/84,74/23,79/32,64/37 is 1/571872
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 84,23,32,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,23,32,37) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(84,23,32,37) x common factors =1 x 4 = 4
LCM(84,23,32,37) = ( 84 × 23 × 32 × 37 ) / 4
LCM(84,23,32,37) = 2287488 / 4
LCM(84,23,32,37) = 571872
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 13/84, 74/23, 79/32, 64/37?
Answer: GCF of Numerators as per given numbers 13/84, 74/23, 79/32, 64/37 is
GCF of Numerators i.e. for 13,74,79,64 is 1
LCM of denominators i.e. for 84,23,32,37 is 571872.
Thus, GCF of Fractions is 1/571872.Finally, GCF of Fractions for 13/84, 74/23, 79/32, 64/37 is 1/571872.