Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6597/202,3040/7920
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 6597,3040
Greatest Common Factor of Numerators i.e. GCF of 6597,3040 is 1 .
LCM of Denominators means LCM of 202,7920 as per the given fractions.
LCM of 202,7920 is 799920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6597,3040
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6597
List of positive integer factors of 6597 that divides 6597 without a remainder.
1,3,9,733,2199,6597
Factors of 3040
List of positive integer factors of 3040 that divides 3040 without a remainder.
1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040
Greatest Common Factor
We found the factors 6597,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 6597,3040 is 1.
Lets's calculate LCM of 202,7920
2 | 202, 7920 |
101, 3960 |
∴ So the LCM of the given numbers is 2 x 101 x 3960 = 799920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/799920
Therefore, the GCF of Fractions 6597/202,3040/7920 is 1/799920
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 202,7920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,7920) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,7920) x common factors =2 x 1 = 2
LCM(202,7920) = ( 202 × 7920 ) / 2
LCM(202,7920) = 1599840 / 2
LCM(202,7920) = 799920
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 6597/202, 3040/7920?
Answer: GCF of Numerators as per given numbers 6597/202, 3040/7920 is
GCF of Numerators i.e. for 6597,3040 is 1
LCM of denominators i.e. for 202,7920 is 799920.
Thus, GCF of Fractions is 1/799920.Finally, GCF of Fractions for 6597/202, 3040/7920 is 1/799920.