Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6145/937,2485/822
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 6145,2485
Greatest Common Factor of Numerators i.e. GCF of 6145,2485 is 5 .
LCM of Denominators means LCM of 937,822 as per the given fractions.
LCM of 937,822 is 770214 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6145,2485
5 | 6145, 2485 |
1229, 497 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6145
List of positive integer factors of 6145 that divides 6145 without a remainder.
1,5,1229,6145
Factors of 2485
List of positive integer factors of 2485 that divides 2485 without a remainder.
1,5,7,35,71,355,497,2485
Greatest Common Factor
We found the factors 6145,2485 . The biggest common factor number is the GCF number.
So the greatest common factor 6145,2485 is 5.
Lets's calculate LCM of 937,822
Given numbers has no common factors except 1. So, there LCM is their product i.e 770214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/770214
Therefore, the GCF of Fractions 6145/937,2485/822 is 5/770214
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 937,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,822) x common factors =1 x 1 = 1
LCM(937,822) = ( 937 × 822 ) / 1
LCM(937,822) = 770214 / 1
LCM(937,822) = 770214
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 6145/937, 2485/822?
Answer: GCF of Numerators as per given numbers 6145/937, 2485/822 is
GCF of Numerators i.e. for 6145,2485 is 5
LCM of denominators i.e. for 937,822 is 770214.
Thus, GCF of Fractions is 5/770214.Finally, GCF of Fractions for 6145/937, 2485/822 is 5/770214.