Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1250/325,4707/774
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 1250,4707
Greatest Common Factor of Numerators i.e. GCF of 1250,4707 is 1 .
LCM of Denominators means LCM of 325,774 as per the given fractions.
LCM of 325,774 is 251550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1250,4707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1250
List of positive integer factors of 1250 that divides 1250 without a remainder.
1,2,5,10,25,50,125,250,625,1250
Factors of 4707
List of positive integer factors of 4707 that divides 4707 without a remainder.
1,3,9,523,1569,4707
Greatest Common Factor
We found the factors 1250,4707 . The biggest common factor number is the GCF number.
So the greatest common factor 1250,4707 is 1.
Lets's calculate LCM of 325,774
Given numbers has no common factors except 1. So, there LCM is their product i.e 251550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251550
Therefore, the GCF of Fractions 1250/325,4707/774 is 1/251550
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 325,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,774) x common factors =1 x 1 = 1
LCM(325,774) = ( 325 × 774 ) / 1
LCM(325,774) = 251550 / 1
LCM(325,774) = 251550
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 1250/325, 4707/774?
Answer: GCF of Numerators as per given numbers 1250/325, 4707/774 is
GCF of Numerators i.e. for 1250,4707 is 1
LCM of denominators i.e. for 325,774 is 251550.
Thus, GCF of Fractions is 1/251550.Finally, GCF of Fractions for 1250/325, 4707/774 is 1/251550.