Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 646/94,399/5369
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 646,399
Greatest Common Factor of Numerators i.e. GCF of 646,399 is 19 .
LCM of Denominators means LCM of 94,5369 as per the given fractions.
LCM of 94,5369 is 504686 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 646,399
19 | 646, 399 |
34, 21 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 646,399 . The biggest common factor number is the GCF number.
So the greatest common factor 646,399 is 19.
Lets's calculate LCM of 94,5369
Given numbers has no common factors except 1. So, there LCM is their product i.e 504686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/504686
Therefore, the GCF of Fractions 646/94,399/5369 is 19/504686
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 94,5369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,5369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,5369) x common factors =1 x 1 = 1
LCM(94,5369) = ( 94 × 5369 ) / 1
LCM(94,5369) = 504686 / 1
LCM(94,5369) = 504686
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 646/94, 399/5369?
Answer: GCF of Numerators as per given numbers 646/94, 399/5369 is
GCF of Numerators i.e. for 646,399 is 19
LCM of denominators i.e. for 94,5369 is 504686.
Thus, GCF of Fractions is 19/504686.Finally, GCF of Fractions for 646/94, 399/5369 is 19/504686.