Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2932/701,9793/851
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 2932,9793
Greatest Common Factor of Numerators i.e. GCF of 2932,9793 is 1 .
LCM of Denominators means LCM of 701,851 as per the given fractions.
LCM of 701,851 is 596551 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2932,9793
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2932
List of positive integer factors of 2932 that divides 2932 without a remainder.
1,2,4,733,1466,2932
Factors of 9793
List of positive integer factors of 9793 that divides 9793 without a remainder.
1,7,1399,9793
Greatest Common Factor
We found the factors 2932,9793 . The biggest common factor number is the GCF number.
So the greatest common factor 2932,9793 is 1.
Lets's calculate LCM of 701,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 596551
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/596551
Therefore, the GCF of Fractions 2932/701,9793/851 is 1/596551
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 701,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,851) x common factors =1 x 1 = 1
LCM(701,851) = ( 701 × 851 ) / 1
LCM(701,851) = 596551 / 1
LCM(701,851) = 596551
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 2932/701, 9793/851?
Answer: GCF of Numerators as per given numbers 2932/701, 9793/851 is
GCF of Numerators i.e. for 2932,9793 is 1
LCM of denominators i.e. for 701,851 is 596551.
Thus, GCF of Fractions is 1/596551.Finally, GCF of Fractions for 2932/701, 9793/851 is 1/596551.