Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 492/337,3502/8144
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 492,3502
Greatest Common Factor of Numerators i.e. GCF of 492,3502 is 2 .
LCM of Denominators means LCM of 337,8144 as per the given fractions.
LCM of 337,8144 is 2744528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 492,3502
2 | 492, 3502 |
246, 1751 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 3502
List of positive integer factors of 3502 that divides 3502 without a remainder.
1,2,17,34,103,206,1751,3502
Greatest Common Factor
We found the factors 492,3502 . The biggest common factor number is the GCF number.
So the greatest common factor 492,3502 is 2.
Lets's calculate LCM of 337,8144
Given numbers has no common factors except 1. So, there LCM is their product i.e 2744528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2744528
Therefore, the GCF of Fractions 492/337,3502/8144 is 2/2744528
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 337,8144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,8144) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,8144) x common factors =1 x 1 = 1
LCM(337,8144) = ( 337 × 8144 ) / 1
LCM(337,8144) = 2744528 / 1
LCM(337,8144) = 2744528
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 492/337, 3502/8144?
Answer: GCF of Numerators as per given numbers 492/337, 3502/8144 is
GCF of Numerators i.e. for 492,3502 is 2
LCM of denominators i.e. for 337,8144 is 2744528.
Thus, GCF of Fractions is 2/2744528.Finally, GCF of Fractions for 492/337, 3502/8144 is 2/2744528.