Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 844/730,869/561,378/830
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 844,869,378
Greatest Common Factor of Numerators i.e. GCF of 844,869,378 is 1 .
LCM of Denominators means LCM of 730,561,830 as per the given fractions.
LCM of 730,561,830 is 33990990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 844,869,378
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 844,869,378 . The biggest common factor number is the GCF number.
So the greatest common factor 844,869,378 is 1.
Lets's calculate LCM of 730,561,830
2 | 730, 561, 830 |
5 | 365, 561, 415 |
73, 561, 83 |
∴ So the LCM of the given numbers is 2 x 5 x 73 x 561 x 83 = 33990990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33990990
Therefore, the GCF of Fractions 844/730,869/561,378/830 is 1/33990990
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 730,561,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,561,830) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(730,561,830) x common factors =1 x 10 = 10
LCM(730,561,830) = ( 730 × 561 × 830 ) / 10
LCM(730,561,830) = 339909900 / 10
LCM(730,561,830) = 33990990
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 844/730, 869/561, 378/830?
Answer: GCF of Numerators as per given numbers 844/730, 869/561, 378/830 is
GCF of Numerators i.e. for 844,869,378 is 1
LCM of denominators i.e. for 730,561,830 is 33990990.
Thus, GCF of Fractions is 1/33990990.Finally, GCF of Fractions for 844/730, 869/561, 378/830 is 1/33990990.