Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/47,45/53,126/537
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 15,45,126
Greatest Common Factor of Numerators i.e. GCF of 15,45,126 is 3 .
LCM of Denominators means LCM of 47,53,537 as per the given fractions.
LCM of 47,53,537 is 1337667 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,45,126
3 | 15, 45, 126 |
5, 15, 42 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 15,45,126 . The biggest common factor number is the GCF number.
So the greatest common factor 15,45,126 is 3.
Lets's calculate LCM of 47,53,537
Given numbers has no common factors except 1. So, there LCM is their product i.e 1337667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1337667
Therefore, the GCF of Fractions 15/47,45/53,126/537 is 3/1337667
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 47,53,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,53,537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,53,537) x common factors =1 x 1 = 1
LCM(47,53,537) = ( 47 × 53 × 537 ) / 1
LCM(47,53,537) = 1337667 / 1
LCM(47,53,537) = 1337667
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 15/47, 45/53, 126/537?
Answer: GCF of Numerators as per given numbers 15/47, 45/53, 126/537 is
GCF of Numerators i.e. for 15,45,126 is 3
LCM of denominators i.e. for 47,53,537 is 1337667.
Thus, GCF of Fractions is 3/1337667.Finally, GCF of Fractions for 15/47, 45/53, 126/537 is 3/1337667.