Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/6289,738/1339
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 420,738
Greatest Common Factor of Numerators i.e. GCF of 420,738 is 6 .
LCM of Denominators means LCM of 6289,1339 as per the given fractions.
LCM of 6289,1339 is 8420971 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 420,738
2 | 420, 738 |
3 | 210, 369 |
70, 123 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 420,738 . The biggest common factor number is the GCF number.
So the greatest common factor 420,738 is 6.
Lets's calculate LCM of 6289,1339
Given numbers has no common factors except 1. So, there LCM is their product i.e 8420971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8420971
Therefore, the GCF of Fractions 420/6289,738/1339 is 6/8420971
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 6289,1339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6289,1339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6289,1339) x common factors =1 x 1 = 1
LCM(6289,1339) = ( 6289 × 1339 ) / 1
LCM(6289,1339) = 8420971 / 1
LCM(6289,1339) = 8420971
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 420/6289, 738/1339?
Answer: GCF of Numerators as per given numbers 420/6289, 738/1339 is
GCF of Numerators i.e. for 420,738 is 6
LCM of denominators i.e. for 6289,1339 is 8420971.
Thus, GCF of Fractions is 6/8420971.Finally, GCF of Fractions for 420/6289, 738/1339 is 6/8420971.