Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6346/449,4804/551
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 6346,4804
Greatest Common Factor of Numerators i.e. GCF of 6346,4804 is 2 .
LCM of Denominators means LCM of 449,551 as per the given fractions.
LCM of 449,551 is 247399 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6346,4804
2 | 6346, 4804 |
3173, 2402 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6346
List of positive integer factors of 6346 that divides 6346 without a remainder.
1,2,19,38,167,334,3173,6346
Factors of 4804
List of positive integer factors of 4804 that divides 4804 without a remainder.
1,2,4,1201,2402,4804
Greatest Common Factor
We found the factors 6346,4804 . The biggest common factor number is the GCF number.
So the greatest common factor 6346,4804 is 2.
Lets's calculate LCM of 449,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 247399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/247399
Therefore, the GCF of Fractions 6346/449,4804/551 is 2/247399
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 449,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,551) x common factors =1 x 1 = 1
LCM(449,551) = ( 449 × 551 ) / 1
LCM(449,551) = 247399 / 1
LCM(449,551) = 247399
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 6346/449, 4804/551?
Answer: GCF of Numerators as per given numbers 6346/449, 4804/551 is
GCF of Numerators i.e. for 6346,4804 is 2
LCM of denominators i.e. for 449,551 is 247399.
Thus, GCF of Fractions is 2/247399.Finally, GCF of Fractions for 6346/449, 4804/551 is 2/247399.