Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 663/62,460/59,436/423
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 663,460,436
Greatest Common Factor of Numerators i.e. GCF of 663,460,436 is 1 .
LCM of Denominators means LCM of 62,59,423 as per the given fractions.
LCM of 62,59,423 is 1547334 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 663,460,436
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 663,460,436 . The biggest common factor number is the GCF number.
So the greatest common factor 663,460,436 is 1.
Lets's calculate LCM of 62,59,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 1547334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1547334
Therefore, the GCF of Fractions 663/62,460/59,436/423 is 1/1547334
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 62,59,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,59,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,59,423) x common factors =1 x 1 = 1
LCM(62,59,423) = ( 62 × 59 × 423 ) / 1
LCM(62,59,423) = 1547334 / 1
LCM(62,59,423) = 1547334
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 663/62, 460/59, 436/423?
Answer: GCF of Numerators as per given numbers 663/62, 460/59, 436/423 is
GCF of Numerators i.e. for 663,460,436 is 1
LCM of denominators i.e. for 62,59,423 is 1547334.
Thus, GCF of Fractions is 1/1547334.Finally, GCF of Fractions for 663/62, 460/59, 436/423 is 1/1547334.