Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/43,51/53,74/85,12/74
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 52,51,74,12
Greatest Common Factor of Numerators i.e. GCF of 52,51,74,12 is 1 .
LCM of Denominators means LCM of 43,53,85,74 as per the given fractions.
LCM of 43,53,85,74 is 14334910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,51,74,12
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 52,51,74,12 . The biggest common factor number is the GCF number.
So the greatest common factor 52,51,74,12 is 1.
Lets's calculate LCM of 43,53,85,74
Given numbers has no common factors except 1. So, there LCM is their product i.e 14334910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14334910
Therefore, the GCF of Fractions 52/43,51/53,74/85,12/74 is 1/14334910
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 43,53,85,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,53,85,74) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,53,85,74) x common factors =1 x 1 = 1
LCM(43,53,85,74) = ( 43 × 53 × 85 × 74 ) / 1
LCM(43,53,85,74) = 14334910 / 1
LCM(43,53,85,74) = 14334910
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 52/43, 51/53, 74/85, 12/74?
Answer: GCF of Numerators as per given numbers 52/43, 51/53, 74/85, 12/74 is
GCF of Numerators i.e. for 52,51,74,12 is 1
LCM of denominators i.e. for 43,53,85,74 is 14334910.
Thus, GCF of Fractions is 1/14334910.Finally, GCF of Fractions for 52/43, 51/53, 74/85, 12/74 is 1/14334910.