Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6464/93,5253/448
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 6464,5253
Greatest Common Factor of Numerators i.e. GCF of 6464,5253 is 1 .
LCM of Denominators means LCM of 93,448 as per the given fractions.
LCM of 93,448 is 41664 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6464,5253
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6464
List of positive integer factors of 6464 that divides 6464 without a remainder.
1,2,4,8,16,32,64,101,202,404,808,1616,3232,6464
Factors of 5253
List of positive integer factors of 5253 that divides 5253 without a remainder.
1,3,17,51,103,309,1751,5253
Greatest Common Factor
We found the factors 6464,5253 . The biggest common factor number is the GCF number.
So the greatest common factor 6464,5253 is 1.
Lets's calculate LCM of 93,448
Given numbers has no common factors except 1. So, there LCM is their product i.e 41664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41664
Therefore, the GCF of Fractions 6464/93,5253/448 is 1/41664
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 93,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,448) x common factors =1 x 1 = 1
LCM(93,448) = ( 93 × 448 ) / 1
LCM(93,448) = 41664 / 1
LCM(93,448) = 41664
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 6464/93, 5253/448?
Answer: GCF of Numerators as per given numbers 6464/93, 5253/448 is
GCF of Numerators i.e. for 6464,5253 is 1
LCM of denominators i.e. for 93,448 is 41664.
Thus, GCF of Fractions is 1/41664.Finally, GCF of Fractions for 6464/93, 5253/448 is 1/41664.