Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6626/827,4170/240
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 6626,4170
Greatest Common Factor of Numerators i.e. GCF of 6626,4170 is 2 .
LCM of Denominators means LCM of 827,240 as per the given fractions.
LCM of 827,240 is 198480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6626,4170
2 | 6626, 4170 |
3313, 2085 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6626
List of positive integer factors of 6626 that divides 6626 without a remainder.
1,2,3313,6626
Factors of 4170
List of positive integer factors of 4170 that divides 4170 without a remainder.
1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170
Greatest Common Factor
We found the factors 6626,4170 . The biggest common factor number is the GCF number.
So the greatest common factor 6626,4170 is 2.
Lets's calculate LCM of 827,240
Given numbers has no common factors except 1. So, there LCM is their product i.e 198480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/198480
Therefore, the GCF of Fractions 6626/827,4170/240 is 2/198480
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 827,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,240) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,240) x common factors =1 x 1 = 1
LCM(827,240) = ( 827 × 240 ) / 1
LCM(827,240) = 198480 / 1
LCM(827,240) = 198480
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 6626/827, 4170/240?
Answer: GCF of Numerators as per given numbers 6626/827, 4170/240 is
GCF of Numerators i.e. for 6626,4170 is 2
LCM of denominators i.e. for 827,240 is 198480.
Thus, GCF of Fractions is 2/198480.Finally, GCF of Fractions for 6626/827, 4170/240 is 2/198480.