Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/631,885/479,528/945
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 53,885,528
Greatest Common Factor of Numerators i.e. GCF of 53,885,528 is 1 .
LCM of Denominators means LCM of 631,479,945 as per the given fractions.
LCM of 631,479,945 is 285625305 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 53,885,528
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 53,885,528 . The biggest common factor number is the GCF number.
So the greatest common factor 53,885,528 is 1.
Lets's calculate LCM of 631,479,945
Given numbers has no common factors except 1. So, there LCM is their product i.e 285625305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285625305
Therefore, the GCF of Fractions 53/631,885/479,528/945 is 1/285625305
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 631,479,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,479,945) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,479,945) x common factors =1 x 1 = 1
LCM(631,479,945) = ( 631 × 479 × 945 ) / 1
LCM(631,479,945) = 285625305 / 1
LCM(631,479,945) = 285625305
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 53/631, 885/479, 528/945?
Answer: GCF of Numerators as per given numbers 53/631, 885/479, 528/945 is
GCF of Numerators i.e. for 53,885,528 is 1
LCM of denominators i.e. for 631,479,945 is 285625305.
Thus, GCF of Fractions is 1/285625305.Finally, GCF of Fractions for 53/631, 885/479, 528/945 is 1/285625305.