Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4224/469,4657/970
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 4224,4657
Greatest Common Factor of Numerators i.e. GCF of 4224,4657 is 1 .
LCM of Denominators means LCM of 469,970 as per the given fractions.
LCM of 469,970 is 454930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4224,4657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4224
List of positive integer factors of 4224 that divides 4224 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,264,352,384,528,704,1056,1408,2112,4224
Factors of 4657
List of positive integer factors of 4657 that divides 4657 without a remainder.
1,4657
Greatest Common Factor
We found the factors 4224,4657 . The biggest common factor number is the GCF number.
So the greatest common factor 4224,4657 is 1.
Lets's calculate LCM of 469,970
Given numbers has no common factors except 1. So, there LCM is their product i.e 454930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454930
Therefore, the GCF of Fractions 4224/469,4657/970 is 1/454930
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 469,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,970) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,970) x common factors =1 x 1 = 1
LCM(469,970) = ( 469 × 970 ) / 1
LCM(469,970) = 454930 / 1
LCM(469,970) = 454930
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 4224/469, 4657/970?
Answer: GCF of Numerators as per given numbers 4224/469, 4657/970 is
GCF of Numerators i.e. for 4224,4657 is 1
LCM of denominators i.e. for 469,970 is 454930.
Thus, GCF of Fractions is 1/454930.Finally, GCF of Fractions for 4224/469, 4657/970 is 1/454930.