Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2487/668,6551/9374
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 2487,6551
Greatest Common Factor of Numerators i.e. GCF of 2487,6551 is 1 .
LCM of Denominators means LCM of 668,9374 as per the given fractions.
LCM of 668,9374 is 3130916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2487,6551
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2487
List of positive integer factors of 2487 that divides 2487 without a remainder.
1,3,829,2487
Factors of 6551
List of positive integer factors of 6551 that divides 6551 without a remainder.
1,6551
Greatest Common Factor
We found the factors 2487,6551 . The biggest common factor number is the GCF number.
So the greatest common factor 2487,6551 is 1.
Lets's calculate LCM of 668,9374
2 | 668, 9374 |
334, 4687 |
∴ So the LCM of the given numbers is 2 x 334 x 4687 = 3130916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3130916
Therefore, the GCF of Fractions 2487/668,6551/9374 is 1/3130916
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 668,9374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,9374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(668,9374) x common factors =2 x 1 = 2
LCM(668,9374) = ( 668 × 9374 ) / 2
LCM(668,9374) = 6261832 / 2
LCM(668,9374) = 3130916
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 2487/668, 6551/9374?
Answer: GCF of Numerators as per given numbers 2487/668, 6551/9374 is
GCF of Numerators i.e. for 2487,6551 is 1
LCM of denominators i.e. for 668,9374 is 3130916.
Thus, GCF of Fractions is 1/3130916.Finally, GCF of Fractions for 2487/668, 6551/9374 is 1/3130916.