Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 975/883,4133/3718
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 975,4133
Greatest Common Factor of Numerators i.e. GCF of 975,4133 is 1 .
LCM of Denominators means LCM of 883,3718 as per the given fractions.
LCM of 883,3718 is 3282994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 975,4133
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 4133
List of positive integer factors of 4133 that divides 4133 without a remainder.
1,4133
Greatest Common Factor
We found the factors 975,4133 . The biggest common factor number is the GCF number.
So the greatest common factor 975,4133 is 1.
Lets's calculate LCM of 883,3718
Given numbers has no common factors except 1. So, there LCM is their product i.e 3282994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3282994
Therefore, the GCF of Fractions 975/883,4133/3718 is 1/3282994
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 883,3718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,3718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,3718) x common factors =1 x 1 = 1
LCM(883,3718) = ( 883 × 3718 ) / 1
LCM(883,3718) = 3282994 / 1
LCM(883,3718) = 3282994
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 975/883, 4133/3718?
Answer: GCF of Numerators as per given numbers 975/883, 4133/3718 is
GCF of Numerators i.e. for 975,4133 is 1
LCM of denominators i.e. for 883,3718 is 3282994.
Thus, GCF of Fractions is 1/3282994.Finally, GCF of Fractions for 975/883, 4133/3718 is 1/3282994.