Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/38,88/43,80/769,152/729
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 1,88,80,152
Greatest Common Factor of Numerators i.e. GCF of 1,88,80,152 is 1 .
LCM of Denominators means LCM of 38,43,769,729 as per the given fractions.
LCM of 38,43,769,729 is 916022034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,88,80,152
∴ 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 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 1,88,80,152 . The biggest common factor number is the GCF number.
So the greatest common factor 1,88,80,152 is 1.
Lets's calculate LCM of 38,43,769,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 916022034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/916022034
Therefore, the GCF of Fractions 1/38,88/43,80/769,152/729 is 1/916022034
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 38,43,769,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,43,769,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,43,769,729) x common factors =1 x 1 = 1
LCM(38,43,769,729) = ( 38 × 43 × 769 × 729 ) / 1
LCM(38,43,769,729) = 916022034 / 1
LCM(38,43,769,729) = 916022034
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 1/38, 88/43, 80/769, 152/729?
Answer: GCF of Numerators as per given numbers 1/38, 88/43, 80/769, 152/729 is
GCF of Numerators i.e. for 1,88,80,152 is 1
LCM of denominators i.e. for 38,43,769,729 is 916022034.
Thus, GCF of Fractions is 1/916022034.Finally, GCF of Fractions for 1/38, 88/43, 80/769, 152/729 is 1/916022034.