Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/571,465/115,143/364
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 63,465,143
Greatest Common Factor of Numerators i.e. GCF of 63,465,143 is 1 .
LCM of Denominators means LCM of 571,115,364 as per the given fractions.
LCM of 571,115,364 is 23902060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,465,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 63,465,143 . The biggest common factor number is the GCF number.
So the greatest common factor 63,465,143 is 1.
Lets's calculate LCM of 571,115,364
Given numbers has no common factors except 1. So, there LCM is their product i.e 23902060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23902060
Therefore, the GCF of Fractions 63/571,465/115,143/364 is 1/23902060
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 571,115,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,115,364) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,115,364) x common factors =1 x 1 = 1
LCM(571,115,364) = ( 571 × 115 × 364 ) / 1
LCM(571,115,364) = 23902060 / 1
LCM(571,115,364) = 23902060
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 63/571, 465/115, 143/364?
Answer: GCF of Numerators as per given numbers 63/571, 465/115, 143/364 is
GCF of Numerators i.e. for 63,465,143 is 1
LCM of denominators i.e. for 571,115,364 is 23902060.
Thus, GCF of Fractions is 1/23902060.Finally, GCF of Fractions for 63/571, 465/115, 143/364 is 1/23902060.