Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 912/694,2344/361
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 912,2344
Greatest Common Factor of Numerators i.e. GCF of 912,2344 is 8 .
LCM of Denominators means LCM of 694,361 as per the given fractions.
LCM of 694,361 is 250534 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 912,2344
2 | 912, 2344 |
2 | 456, 1172 |
2 | 228, 586 |
114, 293 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
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 2344
List of positive integer factors of 2344 that divides 2344 without a remainder.
1,2,4,8,293,586,1172,2344
Greatest Common Factor
We found the factors 912,2344 . The biggest common factor number is the GCF number.
So the greatest common factor 912,2344 is 8.
Lets's calculate LCM of 694,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 250534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/250534
Therefore, the GCF of Fractions 912/694,2344/361 is 8/250534
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 694,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(694,361) x common factors =1 x 1 = 1
LCM(694,361) = ( 694 × 361 ) / 1
LCM(694,361) = 250534 / 1
LCM(694,361) = 250534
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 912/694, 2344/361?
Answer: GCF of Numerators as per given numbers 912/694, 2344/361 is
GCF of Numerators i.e. for 912,2344 is 8
LCM of denominators i.e. for 694,361 is 250534.
Thus, GCF of Fractions is 8/250534.Finally, GCF of Fractions for 912/694, 2344/361 is 8/250534.