Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 629/97,293/72,504/60
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 629,293,504
Greatest Common Factor of Numerators i.e. GCF of 629,293,504 is 1 .
LCM of Denominators means LCM of 97,72,60 as per the given fractions.
LCM of 97,72,60 is 34920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 629,293,504
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 629,293,504 . The biggest common factor number is the GCF number.
So the greatest common factor 629,293,504 is 1.
Lets's calculate LCM of 97,72,60
2 | 97, 72, 60 |
2 | 97, 36, 30 |
3 | 97, 18, 15 |
97, 6, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 97 x 6 x 5 = 34920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34920
Therefore, the GCF of Fractions 629/97,293/72,504/60 is 1/34920
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 97,72,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,72,60) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(97,72,60) x common factors =1 x 12 = 12
LCM(97,72,60) = ( 97 × 72 × 60 ) / 12
LCM(97,72,60) = 419040 / 12
LCM(97,72,60) = 34920
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 629/97, 293/72, 504/60?
Answer: GCF of Numerators as per given numbers 629/97, 293/72, 504/60 is
GCF of Numerators i.e. for 629,293,504 is 1
LCM of denominators i.e. for 97,72,60 is 34920.
Thus, GCF of Fractions is 1/34920.Finally, GCF of Fractions for 629/97, 293/72, 504/60 is 1/34920.