Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 625/130,580/623,218/992
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 625,580,218
Greatest Common Factor of Numerators i.e. GCF of 625,580,218 is 1 .
LCM of Denominators means LCM of 130,623,992 as per the given fractions.
LCM of 130,623,992 is 40171040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 625,580,218
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 625,580,218 . The biggest common factor number is the GCF number.
So the greatest common factor 625,580,218 is 1.
Lets's calculate LCM of 130,623,992
2 | 130, 623, 992 |
65, 623, 496 |
∴ So the LCM of the given numbers is 2 x 65 x 623 x 496 = 40171040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40171040
Therefore, the GCF of Fractions 625/130,580/623,218/992 is 1/40171040
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 130,623,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,623,992) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(130,623,992) x common factors =1 x 2 = 2
LCM(130,623,992) = ( 130 × 623 × 992 ) / 2
LCM(130,623,992) = 80342080 / 2
LCM(130,623,992) = 40171040
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 625/130, 580/623, 218/992?
Answer: GCF of Numerators as per given numbers 625/130, 580/623, 218/992 is
GCF of Numerators i.e. for 625,580,218 is 1
LCM of denominators i.e. for 130,623,992 is 40171040.
Thus, GCF of Fractions is 1/40171040.Finally, GCF of Fractions for 625/130, 580/623, 218/992 is 1/40171040.