Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1500/883,9341/9875
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 1500,9341
Greatest Common Factor of Numerators i.e. GCF of 1500,9341 is 1 .
LCM of Denominators means LCM of 883,9875 as per the given fractions.
LCM of 883,9875 is 8719625 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1500,9341
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1500
List of positive integer factors of 1500 that divides 1500 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500
Factors of 9341
List of positive integer factors of 9341 that divides 9341 without a remainder.
1,9341
Greatest Common Factor
We found the factors 1500,9341 . The biggest common factor number is the GCF number.
So the greatest common factor 1500,9341 is 1.
Lets's calculate LCM of 883,9875
Given numbers has no common factors except 1. So, there LCM is their product i.e 8719625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8719625
Therefore, the GCF of Fractions 1500/883,9341/9875 is 1/8719625
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 883,9875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,9875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,9875) x common factors =1 x 1 = 1
LCM(883,9875) = ( 883 × 9875 ) / 1
LCM(883,9875) = 8719625 / 1
LCM(883,9875) = 8719625
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 1500/883, 9341/9875?
Answer: GCF of Numerators as per given numbers 1500/883, 9341/9875 is
GCF of Numerators i.e. for 1500,9341 is 1
LCM of denominators i.e. for 883,9875 is 8719625.
Thus, GCF of Fractions is 1/8719625.Finally, GCF of Fractions for 1500/883, 9341/9875 is 1/8719625.