Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 912/902,145/801,675/264
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 912,145,675
Greatest Common Factor of Numerators i.e. GCF of 912,145,675 is 1 .
LCM of Denominators means LCM of 902,801,264 as per the given fractions.
LCM of 902,801,264 is 2890008 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 912,145,675
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 912,145,675 . The biggest common factor number is the GCF number.
So the greatest common factor 912,145,675 is 1.
Lets's calculate LCM of 902,801,264
2 | 902, 801, 264 |
3 | 451, 801, 132 |
11 | 451, 267, 44 |
41, 267, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 41 x 267 x 4 = 2890008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2890008
Therefore, the GCF of Fractions 912/902,145/801,675/264 is 1/2890008
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 902,801,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,801,264) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(902,801,264) x common factors =1 x 66 = 66
LCM(902,801,264) = ( 902 × 801 × 264 ) / 66
LCM(902,801,264) = 190740528 / 66
LCM(902,801,264) = 2890008
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 912/902, 145/801, 675/264?
Answer: GCF of Numerators as per given numbers 912/902, 145/801, 675/264 is
GCF of Numerators i.e. for 912,145,675 is 1
LCM of denominators i.e. for 902,801,264 is 2890008.
Thus, GCF of Fractions is 1/2890008.Finally, GCF of Fractions for 912/902, 145/801, 675/264 is 1/2890008.