Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/994,954/829,566/706
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 94,954,566
Greatest Common Factor of Numerators i.e. GCF of 94,954,566 is 2 .
LCM of Denominators means LCM of 994,829,706 as per the given fractions.
LCM of 994,829,706 is 290881178 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,954,566
2 | 94, 954, 566 |
47, 477, 283 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 94,954,566 . The biggest common factor number is the GCF number.
So the greatest common factor 94,954,566 is 2.
Lets's calculate LCM of 994,829,706
2 | 994, 829, 706 |
497, 829, 353 |
∴ So the LCM of the given numbers is 2 x 497 x 829 x 353 = 290881178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/290881178
Therefore, the GCF of Fractions 94/994,954/829,566/706 is 2/290881178
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 994,829,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,829,706) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(994,829,706) x common factors =1 x 2 = 2
LCM(994,829,706) = ( 994 × 829 × 706 ) / 2
LCM(994,829,706) = 581762356 / 2
LCM(994,829,706) = 290881178
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 94/994, 954/829, 566/706?
Answer: GCF of Numerators as per given numbers 94/994, 954/829, 566/706 is
GCF of Numerators i.e. for 94,954,566 is 2
LCM of denominators i.e. for 994,829,706 is 290881178.
Thus, GCF of Fractions is 2/290881178.Finally, GCF of Fractions for 94/994, 954/829, 566/706 is 2/290881178.