Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3508/762,3941/9364
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 3508,3941
Greatest Common Factor of Numerators i.e. GCF of 3508,3941 is 1 .
LCM of Denominators means LCM of 762,9364 as per the given fractions.
LCM of 762,9364 is 3567684 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3508,3941
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3508
List of positive integer factors of 3508 that divides 3508 without a remainder.
1,2,4,877,1754,3508
Factors of 3941
List of positive integer factors of 3941 that divides 3941 without a remainder.
1,7,563,3941
Greatest Common Factor
We found the factors 3508,3941 . The biggest common factor number is the GCF number.
So the greatest common factor 3508,3941 is 1.
Lets's calculate LCM of 762,9364
2 | 762, 9364 |
381, 4682 |
∴ So the LCM of the given numbers is 2 x 381 x 4682 = 3567684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3567684
Therefore, the GCF of Fractions 3508/762,3941/9364 is 1/3567684
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 762,9364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,9364) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(762,9364) x common factors =2 x 1 = 2
LCM(762,9364) = ( 762 × 9364 ) / 2
LCM(762,9364) = 7135368 / 2
LCM(762,9364) = 3567684
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 3508/762, 3941/9364?
Answer: GCF of Numerators as per given numbers 3508/762, 3941/9364 is
GCF of Numerators i.e. for 3508,3941 is 1
LCM of denominators i.e. for 762,9364 is 3567684.
Thus, GCF of Fractions is 1/3567684.Finally, GCF of Fractions for 3508/762, 3941/9364 is 1/3567684.