Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5379/73,2733/336
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 5379,2733
Greatest Common Factor of Numerators i.e. GCF of 5379,2733 is 3 .
LCM of Denominators means LCM of 73,336 as per the given fractions.
LCM of 73,336 is 24528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5379,2733
3 | 5379, 2733 |
1793, 911 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5379
List of positive integer factors of 5379 that divides 5379 without a remainder.
1,3,11,33,163,489,1793,5379
Factors of 2733
List of positive integer factors of 2733 that divides 2733 without a remainder.
1,3,911,2733
Greatest Common Factor
We found the factors 5379,2733 . The biggest common factor number is the GCF number.
So the greatest common factor 5379,2733 is 3.
Lets's calculate LCM of 73,336
Given numbers has no common factors except 1. So, there LCM is their product i.e 24528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24528
Therefore, the GCF of Fractions 5379/73,2733/336 is 3/24528
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 73,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,336) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,336) x common factors =1 x 1 = 1
LCM(73,336) = ( 73 × 336 ) / 1
LCM(73,336) = 24528 / 1
LCM(73,336) = 24528
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 5379/73, 2733/336?
Answer: GCF of Numerators as per given numbers 5379/73, 2733/336 is
GCF of Numerators i.e. for 5379,2733 is 3
LCM of denominators i.e. for 73,336 is 24528.
Thus, GCF of Fractions is 3/24528.Finally, GCF of Fractions for 5379/73, 2733/336 is 3/24528.