Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6653/621,7493/599
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 6653,7493
Greatest Common Factor of Numerators i.e. GCF of 6653,7493 is 1 .
LCM of Denominators means LCM of 621,599 as per the given fractions.
LCM of 621,599 is 371979 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6653,7493
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6653
List of positive integer factors of 6653 that divides 6653 without a remainder.
1,6653
Factors of 7493
List of positive integer factors of 7493 that divides 7493 without a remainder.
1,59,127,7493
Greatest Common Factor
We found the factors 6653,7493 . The biggest common factor number is the GCF number.
So the greatest common factor 6653,7493 is 1.
Lets's calculate LCM of 621,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 371979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371979
Therefore, the GCF of Fractions 6653/621,7493/599 is 1/371979
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 621,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,599) x common factors =1 x 1 = 1
LCM(621,599) = ( 621 × 599 ) / 1
LCM(621,599) = 371979 / 1
LCM(621,599) = 371979
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 6653/621, 7493/599?
Answer: GCF of Numerators as per given numbers 6653/621, 7493/599 is
GCF of Numerators i.e. for 6653,7493 is 1
LCM of denominators i.e. for 621,599 is 371979.
Thus, GCF of Fractions is 1/371979.Finally, GCF of Fractions for 6653/621, 7493/599 is 1/371979.