Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 390/31,822/19,623/534
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 390,822,623
Greatest Common Factor of Numerators i.e. GCF of 390,822,623 is 1 .
LCM of Denominators means LCM of 31,19,534 as per the given fractions.
LCM of 31,19,534 is 314526 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 390,822,623
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Greatest Common Factor
We found the factors 390,822,623 . The biggest common factor number is the GCF number.
So the greatest common factor 390,822,623 is 1.
Lets's calculate LCM of 31,19,534
Given numbers has no common factors except 1. So, there LCM is their product i.e 314526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/314526
Therefore, the GCF of Fractions 390/31,822/19,623/534 is 1/314526
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 31,19,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,19,534) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,19,534) x common factors =1 x 1 = 1
LCM(31,19,534) = ( 31 × 19 × 534 ) / 1
LCM(31,19,534) = 314526 / 1
LCM(31,19,534) = 314526
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 390/31, 822/19, 623/534?
Answer: GCF of Numerators as per given numbers 390/31, 822/19, 623/534 is
GCF of Numerators i.e. for 390,822,623 is 1
LCM of denominators i.e. for 31,19,534 is 314526.
Thus, GCF of Fractions is 1/314526.Finally, GCF of Fractions for 390/31, 822/19, 623/534 is 1/314526.