Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2577/639,1514/504
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 2577,1514
Greatest Common Factor of Numerators i.e. GCF of 2577,1514 is 1 .
LCM of Denominators means LCM of 639,504 as per the given fractions.
LCM of 639,504 is 35784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2577,1514
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2577
List of positive integer factors of 2577 that divides 2577 without a remainder.
1,3,859,2577
Factors of 1514
List of positive integer factors of 1514 that divides 1514 without a remainder.
1,2,757,1514
Greatest Common Factor
We found the factors 2577,1514 . The biggest common factor number is the GCF number.
So the greatest common factor 2577,1514 is 1.
Lets's calculate LCM of 639,504
3 | 639, 504 |
3 | 213, 168 |
71, 56 |
∴ So the LCM of the given numbers is 3 x 3 x 71 x 56 = 35784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35784
Therefore, the GCF of Fractions 2577/639,1514/504 is 1/35784
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 639,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,504) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(639,504) x common factors =9 x 1 = 9
LCM(639,504) = ( 639 × 504 ) / 9
LCM(639,504) = 322056 / 9
LCM(639,504) = 35784
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 2577/639, 1514/504?
Answer: GCF of Numerators as per given numbers 2577/639, 1514/504 is
GCF of Numerators i.e. for 2577,1514 is 1
LCM of denominators i.e. for 639,504 is 35784.
Thus, GCF of Fractions is 1/35784.Finally, GCF of Fractions for 2577/639, 1514/504 is 1/35784.