Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 623/334,923/912,981/180
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 623,923,981
Greatest Common Factor of Numerators i.e. GCF of 623,923,981 is 1 .
LCM of Denominators means LCM of 334,912,180 as per the given fractions.
LCM of 334,912,180 is 2284560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 623,923,981
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Greatest Common Factor
We found the factors 623,923,981 . The biggest common factor number is the GCF number.
So the greatest common factor 623,923,981 is 1.
Lets's calculate LCM of 334,912,180
2 | 334, 912, 180 |
2 | 167, 456, 90 |
3 | 167, 228, 45 |
167, 76, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 167 x 76 x 15 = 2284560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2284560
Therefore, the GCF of Fractions 623/334,923/912,981/180 is 1/2284560
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 334,912,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,912,180) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(334,912,180) x common factors =2 x 12 = 24
LCM(334,912,180) = ( 334 × 912 × 180 ) / 24
LCM(334,912,180) = 54829440 / 24
LCM(334,912,180) = 2284560
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 623/334, 923/912, 981/180?
Answer: GCF of Numerators as per given numbers 623/334, 923/912, 981/180 is
GCF of Numerators i.e. for 623,923,981 is 1
LCM of denominators i.e. for 334,912,180 is 2284560.
Thus, GCF of Fractions is 1/2284560.Finally, GCF of Fractions for 623/334, 923/912, 981/180 is 1/2284560.