Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5346/767,3854/4401
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 5346,3854
Greatest Common Factor of Numerators i.e. GCF of 5346,3854 is 2 .
LCM of Denominators means LCM of 767,4401 as per the given fractions.
LCM of 767,4401 is 3375567 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5346,3854
2 | 5346, 3854 |
2673, 1927 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5346
List of positive integer factors of 5346 that divides 5346 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346
Factors of 3854
List of positive integer factors of 3854 that divides 3854 without a remainder.
1,2,41,47,82,94,1927,3854
Greatest Common Factor
We found the factors 5346,3854 . The biggest common factor number is the GCF number.
So the greatest common factor 5346,3854 is 2.
Lets's calculate LCM of 767,4401
Given numbers has no common factors except 1. So, there LCM is their product i.e 3375567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3375567
Therefore, the GCF of Fractions 5346/767,3854/4401 is 2/3375567
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 767,4401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,4401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,4401) x common factors =1 x 1 = 1
LCM(767,4401) = ( 767 × 4401 ) / 1
LCM(767,4401) = 3375567 / 1
LCM(767,4401) = 3375567
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 5346/767, 3854/4401?
Answer: GCF of Numerators as per given numbers 5346/767, 3854/4401 is
GCF of Numerators i.e. for 5346,3854 is 2
LCM of denominators i.e. for 767,4401 is 3375567.
Thus, GCF of Fractions is 2/3375567.Finally, GCF of Fractions for 5346/767, 3854/4401 is 2/3375567.