Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/84,69/74,44/84,808/48
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 34,69,44,808
Greatest Common Factor of Numerators i.e. GCF of 34,69,44,808 is 1 .
LCM of Denominators means LCM of 84,74,84,48 as per the given fractions.
LCM of 84,74,84,48 is 12432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,69,44,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 34,69,44,808 . The biggest common factor number is the GCF number.
So the greatest common factor 34,69,44,808 is 1.
Lets's calculate LCM of 84,74,84,48
2 | 84, 74, 84, 48 |
2 | 42, 37, 42, 24 |
3 | 21, 37, 21, 12 |
7 | 7, 37, 7, 4 |
1, 37, 1, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 37 x 1 x 4 = 12432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12432
Therefore, the GCF of Fractions 34/84,69/74,44/84,808/48 is 1/12432
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 84,74,84,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,74,84,48) = 2
common factors(in case of two or more numbers have common factors) = 1008
GCF(84,74,84,48) x common factors =2 x 1008 = 2016
LCM(84,74,84,48) = ( 84 × 74 × 84 × 48 ) / 2016
LCM(84,74,84,48) = 25062912 / 2016
LCM(84,74,84,48) = 12432
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 34/84, 69/74, 44/84, 808/48?
Answer: GCF of Numerators as per given numbers 34/84, 69/74, 44/84, 808/48 is
GCF of Numerators i.e. for 34,69,44,808 is 1
LCM of denominators i.e. for 84,74,84,48 is 12432.
Thus, GCF of Fractions is 1/12432.Finally, GCF of Fractions for 34/84, 69/74, 44/84, 808/48 is 1/12432.