Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2875/426,5944/6240
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 2875,5944
Greatest Common Factor of Numerators i.e. GCF of 2875,5944 is 1 .
LCM of Denominators means LCM of 426,6240 as per the given fractions.
LCM of 426,6240 is 443040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2875,5944
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2875
List of positive integer factors of 2875 that divides 2875 without a remainder.
1,5,23,25,115,125,575,2875
Factors of 5944
List of positive integer factors of 5944 that divides 5944 without a remainder.
1,2,4,8,743,1486,2972,5944
Greatest Common Factor
We found the factors 2875,5944 . The biggest common factor number is the GCF number.
So the greatest common factor 2875,5944 is 1.
Lets's calculate LCM of 426,6240
2 | 426, 6240 |
3 | 213, 3120 |
71, 1040 |
∴ So the LCM of the given numbers is 2 x 3 x 71 x 1040 = 443040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/443040
Therefore, the GCF of Fractions 2875/426,5944/6240 is 1/443040
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 426,6240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,6240) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(426,6240) x common factors =6 x 1 = 6
LCM(426,6240) = ( 426 × 6240 ) / 6
LCM(426,6240) = 2658240 / 6
LCM(426,6240) = 443040
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 2875/426, 5944/6240?
Answer: GCF of Numerators as per given numbers 2875/426, 5944/6240 is
GCF of Numerators i.e. for 2875,5944 is 1
LCM of denominators i.e. for 426,6240 is 443040.
Thus, GCF of Fractions is 1/443040.Finally, GCF of Fractions for 2875/426, 5944/6240 is 1/443040.