Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/71,22/53,60/513,605/145
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 3,22,60,605
Greatest Common Factor of Numerators i.e. GCF of 3,22,60,605 is 1 .
LCM of Denominators means LCM of 71,53,513,145 as per the given fractions.
LCM of 71,53,513,145 is 279910755 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,22,60,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Greatest Common Factor
We found the factors 3,22,60,605 . The biggest common factor number is the GCF number.
So the greatest common factor 3,22,60,605 is 1.
Lets's calculate LCM of 71,53,513,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 279910755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279910755
Therefore, the GCF of Fractions 3/71,22/53,60/513,605/145 is 1/279910755
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 71,53,513,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,53,513,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,53,513,145) x common factors =1 x 1 = 1
LCM(71,53,513,145) = ( 71 × 53 × 513 × 145 ) / 1
LCM(71,53,513,145) = 279910755 / 1
LCM(71,53,513,145) = 279910755
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 3/71, 22/53, 60/513, 605/145?
Answer: GCF of Numerators as per given numbers 3/71, 22/53, 60/513, 605/145 is
GCF of Numerators i.e. for 3,22,60,605 is 1
LCM of denominators i.e. for 71,53,513,145 is 279910755.
Thus, GCF of Fractions is 1/279910755.Finally, GCF of Fractions for 3/71, 22/53, 60/513, 605/145 is 1/279910755.