Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/32,17/10,537/795
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 50,17,537
Greatest Common Factor of Numerators i.e. GCF of 50,17,537 is 1 .
LCM of Denominators means LCM of 32,10,795 as per the given fractions.
LCM of 32,10,795 is 25440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,17,537
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Greatest Common Factor
We found the factors 50,17,537 . The biggest common factor number is the GCF number.
So the greatest common factor 50,17,537 is 1.
Lets's calculate LCM of 32,10,795
2 | 32, 10, 795 |
5 | 16, 5, 795 |
16, 1, 159 |
∴ So the LCM of the given numbers is 2 x 5 x 16 x 1 x 159 = 25440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25440
Therefore, the GCF of Fractions 50/32,17/10,537/795 is 1/25440
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 32,10,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,10,795) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(32,10,795) x common factors =1 x 10 = 10
LCM(32,10,795) = ( 32 × 10 × 795 ) / 10
LCM(32,10,795) = 254400 / 10
LCM(32,10,795) = 25440
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 50/32, 17/10, 537/795?
Answer: GCF of Numerators as per given numbers 50/32, 17/10, 537/795 is
GCF of Numerators i.e. for 50,17,537 is 1
LCM of denominators i.e. for 32,10,795 is 25440.
Thus, GCF of Fractions is 1/25440.Finally, GCF of Fractions for 50/32, 17/10, 537/795 is 1/25440.