Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 351/8670,390/4428
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 351,390
Greatest Common Factor of Numerators i.e. GCF of 351,390 is 39 .
LCM of Denominators means LCM of 8670,4428 as per the given fractions.
LCM of 8670,4428 is 6398460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 351,390
3 | 351, 390 |
13 | 117, 130 |
9, 10 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
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
Greatest Common Factor
We found the factors 351,390 . The biggest common factor number is the GCF number.
So the greatest common factor 351,390 is 39.
Lets's calculate LCM of 8670,4428
2 | 8670, 4428 |
3 | 4335, 2214 |
1445, 738 |
∴ So the LCM of the given numbers is 2 x 3 x 1445 x 738 = 6398460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/6398460
Therefore, the GCF of Fractions 351/8670,390/4428 is 39/6398460
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 8670,4428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8670,4428) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(8670,4428) x common factors =6 x 1 = 6
LCM(8670,4428) = ( 8670 × 4428 ) / 6
LCM(8670,4428) = 38390760 / 6
LCM(8670,4428) = 6398460
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 351/8670, 390/4428?
Answer: GCF of Numerators as per given numbers 351/8670, 390/4428 is
GCF of Numerators i.e. for 351,390 is 39
LCM of denominators i.e. for 8670,4428 is 6398460.
Thus, GCF of Fractions is 39/6398460.Finally, GCF of Fractions for 351/8670, 390/4428 is 39/6398460.