Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 996/49,4719/349
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 996,4719
Greatest Common Factor of Numerators i.e. GCF of 996,4719 is 3 .
LCM of Denominators means LCM of 49,349 as per the given fractions.
LCM of 49,349 is 17101 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 996,4719
3 | 996, 4719 |
332, 1573 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 4719
List of positive integer factors of 4719 that divides 4719 without a remainder.
1,3,11,13,33,39,121,143,363,429,1573,4719
Greatest Common Factor
We found the factors 996,4719 . The biggest common factor number is the GCF number.
So the greatest common factor 996,4719 is 3.
Lets's calculate LCM of 49,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 17101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17101
Therefore, the GCF of Fractions 996/49,4719/349 is 3/17101
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 49,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,349) x common factors =1 x 1 = 1
LCM(49,349) = ( 49 × 349 ) / 1
LCM(49,349) = 17101 / 1
LCM(49,349) = 17101
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 996/49, 4719/349?
Answer: GCF of Numerators as per given numbers 996/49, 4719/349 is
GCF of Numerators i.e. for 996,4719 is 3
LCM of denominators i.e. for 49,349 is 17101.
Thus, GCF of Fractions is 3/17101.Finally, GCF of Fractions for 996/49, 4719/349 is 3/17101.