Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 623/46,301/7481
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 623,301
Greatest Common Factor of Numerators i.e. GCF of 623,301 is 7 .
LCM of Denominators means LCM of 46,7481 as per the given fractions.
LCM of 46,7481 is 344126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 623,301
7 | 623, 301 |
89, 43 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Greatest Common Factor
We found the factors 623,301 . The biggest common factor number is the GCF number.
So the greatest common factor 623,301 is 7.
Lets's calculate LCM of 46,7481
Given numbers has no common factors except 1. So, there LCM is their product i.e 344126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/344126
Therefore, the GCF of Fractions 623/46,301/7481 is 7/344126
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 46,7481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,7481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,7481) x common factors =1 x 1 = 1
LCM(46,7481) = ( 46 × 7481 ) / 1
LCM(46,7481) = 344126 / 1
LCM(46,7481) = 344126
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 623/46, 301/7481?
Answer: GCF of Numerators as per given numbers 623/46, 301/7481 is
GCF of Numerators i.e. for 623,301 is 7
LCM of denominators i.e. for 46,7481 is 344126.
Thus, GCF of Fractions is 7/344126.Finally, GCF of Fractions for 623/46, 301/7481 is 7/344126.