Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8105/855,1057/3330
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 8105,1057
Greatest Common Factor of Numerators i.e. GCF of 8105,1057 is 1 .
LCM of Denominators means LCM of 855,3330 as per the given fractions.
LCM of 855,3330 is 63270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8105,1057
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8105
List of positive integer factors of 8105 that divides 8105 without a remainder.
1,5,1621,8105
Factors of 1057
List of positive integer factors of 1057 that divides 1057 without a remainder.
1,7,151,1057
Greatest Common Factor
We found the factors 8105,1057 . The biggest common factor number is the GCF number.
So the greatest common factor 8105,1057 is 1.
Lets's calculate LCM of 855,3330
3 | 855, 3330 |
3 | 285, 1110 |
5 | 95, 370 |
19, 74 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 19 x 74 = 63270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63270
Therefore, the GCF of Fractions 8105/855,1057/3330 is 1/63270
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 855,3330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,3330) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(855,3330) x common factors =45 x 1 = 45
LCM(855,3330) = ( 855 × 3330 ) / 45
LCM(855,3330) = 2847150 / 45
LCM(855,3330) = 63270
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 8105/855, 1057/3330?
Answer: GCF of Numerators as per given numbers 8105/855, 1057/3330 is
GCF of Numerators i.e. for 8105,1057 is 1
LCM of denominators i.e. for 855,3330 is 63270.
Thus, GCF of Fractions is 1/63270.Finally, GCF of Fractions for 8105/855, 1057/3330 is 1/63270.