Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1732/48,3751/950
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 1732,3751
Greatest Common Factor of Numerators i.e. GCF of 1732,3751 is 1 .
LCM of Denominators means LCM of 48,950 as per the given fractions.
LCM of 48,950 is 22800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1732,3751
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1732
List of positive integer factors of 1732 that divides 1732 without a remainder.
1,2,4,433,866,1732
Factors of 3751
List of positive integer factors of 3751 that divides 3751 without a remainder.
1,11,31,121,341,3751
Greatest Common Factor
We found the factors 1732,3751 . The biggest common factor number is the GCF number.
So the greatest common factor 1732,3751 is 1.
Lets's calculate LCM of 48,950
2 | 48, 950 |
24, 475 |
∴ So the LCM of the given numbers is 2 x 24 x 475 = 22800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22800
Therefore, the GCF of Fractions 1732/48,3751/950 is 1/22800
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 48,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,950) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(48,950) x common factors =2 x 1 = 2
LCM(48,950) = ( 48 × 950 ) / 2
LCM(48,950) = 45600 / 2
LCM(48,950) = 22800
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 1732/48, 3751/950?
Answer: GCF of Numerators as per given numbers 1732/48, 3751/950 is
GCF of Numerators i.e. for 1732,3751 is 1
LCM of denominators i.e. for 48,950 is 22800.
Thus, GCF of Fractions is 1/22800.Finally, GCF of Fractions for 1732/48, 3751/950 is 1/22800.