Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 445/266,4662/369
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 445,4662
Greatest Common Factor of Numerators i.e. GCF of 445,4662 is 1 .
LCM of Denominators means LCM of 266,369 as per the given fractions.
LCM of 266,369 is 98154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 445,4662
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 4662
List of positive integer factors of 4662 that divides 4662 without a remainder.
1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Greatest Common Factor
We found the factors 445,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 445,4662 is 1.
Lets's calculate LCM of 266,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 98154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98154
Therefore, the GCF of Fractions 445/266,4662/369 is 1/98154
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 266,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,369) x common factors =1 x 1 = 1
LCM(266,369) = ( 266 × 369 ) / 1
LCM(266,369) = 98154 / 1
LCM(266,369) = 98154
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 445/266, 4662/369?
Answer: GCF of Numerators as per given numbers 445/266, 4662/369 is
GCF of Numerators i.e. for 445,4662 is 1
LCM of denominators i.e. for 266,369 is 98154.
Thus, GCF of Fractions is 1/98154.Finally, GCF of Fractions for 445/266, 4662/369 is 1/98154.