Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6354/519,1360/5605
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 6354,1360
Greatest Common Factor of Numerators i.e. GCF of 6354,1360 is 2 .
LCM of Denominators means LCM of 519,5605 as per the given fractions.
LCM of 519,5605 is 2908995 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6354,1360
2 | 6354, 1360 |
3177, 680 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6354
List of positive integer factors of 6354 that divides 6354 without a remainder.
1,2,3,6,9,18,353,706,1059,2118,3177,6354
Factors of 1360
List of positive integer factors of 1360 that divides 1360 without a remainder.
1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360
Greatest Common Factor
We found the factors 6354,1360 . The biggest common factor number is the GCF number.
So the greatest common factor 6354,1360 is 2.
Lets's calculate LCM of 519,5605
Given numbers has no common factors except 1. So, there LCM is their product i.e 2908995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2908995
Therefore, the GCF of Fractions 6354/519,1360/5605 is 2/2908995
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 519,5605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,5605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,5605) x common factors =1 x 1 = 1
LCM(519,5605) = ( 519 × 5605 ) / 1
LCM(519,5605) = 2908995 / 1
LCM(519,5605) = 2908995
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 6354/519, 1360/5605?
Answer: GCF of Numerators as per given numbers 6354/519, 1360/5605 is
GCF of Numerators i.e. for 6354,1360 is 2
LCM of denominators i.e. for 519,5605 is 2908995.
Thus, GCF of Fractions is 2/2908995.Finally, GCF of Fractions for 6354/519, 1360/5605 is 2/2908995.