Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6279/35,2324/214
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 6279,2324
Greatest Common Factor of Numerators i.e. GCF of 6279,2324 is 7 .
LCM of Denominators means LCM of 35,214 as per the given fractions.
LCM of 35,214 is 7490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6279,2324
7 | 6279, 2324 |
897, 332 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 6279
List of positive integer factors of 6279 that divides 6279 without a remainder.
1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279
Factors of 2324
List of positive integer factors of 2324 that divides 2324 without a remainder.
1,2,4,7,14,28,83,166,332,581,1162,2324
Greatest Common Factor
We found the factors 6279,2324 . The biggest common factor number is the GCF number.
So the greatest common factor 6279,2324 is 7.
Lets's calculate LCM of 35,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 7490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/7490
Therefore, the GCF of Fractions 6279/35,2324/214 is 7/7490
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 35,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,214) x common factors =1 x 1 = 1
LCM(35,214) = ( 35 × 214 ) / 1
LCM(35,214) = 7490 / 1
LCM(35,214) = 7490
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 6279/35, 2324/214?
Answer: GCF of Numerators as per given numbers 6279/35, 2324/214 is
GCF of Numerators i.e. for 6279,2324 is 7
LCM of denominators i.e. for 35,214 is 7490.
Thus, GCF of Fractions is 7/7490.Finally, GCF of Fractions for 6279/35, 2324/214 is 7/7490.