Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/71,74/446,235/629
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 62,74,235
Greatest Common Factor of Numerators i.e. GCF of 62,74,235 is 1 .
LCM of Denominators means LCM of 71,446,629 as per the given fractions.
LCM of 71,446,629 is 19917914 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,74,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 62,74,235 . The biggest common factor number is the GCF number.
So the greatest common factor 62,74,235 is 1.
Lets's calculate LCM of 71,446,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 19917914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19917914
Therefore, the GCF of Fractions 62/71,74/446,235/629 is 1/19917914
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 71,446,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,446,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,446,629) x common factors =1 x 1 = 1
LCM(71,446,629) = ( 71 × 446 × 629 ) / 1
LCM(71,446,629) = 19917914 / 1
LCM(71,446,629) = 19917914
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 62/71, 74/446, 235/629?
Answer: GCF of Numerators as per given numbers 62/71, 74/446, 235/629 is
GCF of Numerators i.e. for 62,74,235 is 1
LCM of denominators i.e. for 71,446,629 is 19917914.
Thus, GCF of Fractions is 1/19917914.Finally, GCF of Fractions for 62/71, 74/446, 235/629 is 1/19917914.