Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2638/502,2682/8997
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 2638,2682
Greatest Common Factor of Numerators i.e. GCF of 2638,2682 is 2 .
LCM of Denominators means LCM of 502,8997 as per the given fractions.
LCM of 502,8997 is 4516494 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2638,2682
2 | 2638, 2682 |
1319, 1341 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2638
List of positive integer factors of 2638 that divides 2638 without a remainder.
1,2,1319,2638
Factors of 2682
List of positive integer factors of 2682 that divides 2682 without a remainder.
1,2,3,6,9,18,149,298,447,894,1341,2682
Greatest Common Factor
We found the factors 2638,2682 . The biggest common factor number is the GCF number.
So the greatest common factor 2638,2682 is 2.
Lets's calculate LCM of 502,8997
Given numbers has no common factors except 1. So, there LCM is their product i.e 4516494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4516494
Therefore, the GCF of Fractions 2638/502,2682/8997 is 2/4516494
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 502,8997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,8997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,8997) x common factors =1 x 1 = 1
LCM(502,8997) = ( 502 × 8997 ) / 1
LCM(502,8997) = 4516494 / 1
LCM(502,8997) = 4516494
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 2638/502, 2682/8997?
Answer: GCF of Numerators as per given numbers 2638/502, 2682/8997 is
GCF of Numerators i.e. for 2638,2682 is 2
LCM of denominators i.e. for 502,8997 is 4516494.
Thus, GCF of Fractions is 2/4516494.Finally, GCF of Fractions for 2638/502, 2682/8997 is 2/4516494.