Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 624/590,8215/348
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 624,8215
Greatest Common Factor of Numerators i.e. GCF of 624,8215 is 1 .
LCM of Denominators means LCM of 590,348 as per the given fractions.
LCM of 590,348 is 102660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 624,8215
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 8215
List of positive integer factors of 8215 that divides 8215 without a remainder.
1,5,31,53,155,265,1643,8215
Greatest Common Factor
We found the factors 624,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 624,8215 is 1.
Lets's calculate LCM of 590,348
2 | 590, 348 |
295, 174 |
∴ So the LCM of the given numbers is 2 x 295 x 174 = 102660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102660
Therefore, the GCF of Fractions 624/590,8215/348 is 1/102660
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 590,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,348) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,348) x common factors =2 x 1 = 2
LCM(590,348) = ( 590 × 348 ) / 2
LCM(590,348) = 205320 / 2
LCM(590,348) = 102660
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 624/590, 8215/348?
Answer: GCF of Numerators as per given numbers 624/590, 8215/348 is
GCF of Numerators i.e. for 624,8215 is 1
LCM of denominators i.e. for 590,348 is 102660.
Thus, GCF of Fractions is 1/102660.Finally, GCF of Fractions for 624/590, 8215/348 is 1/102660.