Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/51,153/50,757/32
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 52,153,757
Greatest Common Factor of Numerators i.e. GCF of 52,153,757 is 1 .
LCM of Denominators means LCM of 51,50,32 as per the given fractions.
LCM of 51,50,32 is 40800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,153,757
∴ 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 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Greatest Common Factor
We found the factors 52,153,757 . The biggest common factor number is the GCF number.
So the greatest common factor 52,153,757 is 1.
Lets's calculate LCM of 51,50,32
2 | 51, 50, 32 |
51, 25, 16 |
∴ So the LCM of the given numbers is 2 x 51 x 25 x 16 = 40800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40800
Therefore, the GCF of Fractions 52/51,153/50,757/32 is 1/40800
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 51,50,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,50,32) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(51,50,32) x common factors =1 x 2 = 2
LCM(51,50,32) = ( 51 × 50 × 32 ) / 2
LCM(51,50,32) = 81600 / 2
LCM(51,50,32) = 40800
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 52/51, 153/50, 757/32?
Answer: GCF of Numerators as per given numbers 52/51, 153/50, 757/32 is
GCF of Numerators i.e. for 52,153,757 is 1
LCM of denominators i.e. for 51,50,32 is 40800.
Thus, GCF of Fractions is 1/40800.Finally, GCF of Fractions for 52/51, 153/50, 757/32 is 1/40800.