Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 449/31,762/63,228/319
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 449,762,228
Greatest Common Factor of Numerators i.e. GCF of 449,762,228 is 1 .
LCM of Denominators means LCM of 31,63,319 as per the given fractions.
LCM of 31,63,319 is 623007 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 449,762,228
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 449,762,228 . The biggest common factor number is the GCF number.
So the greatest common factor 449,762,228 is 1.
Lets's calculate LCM of 31,63,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 623007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/623007
Therefore, the GCF of Fractions 449/31,762/63,228/319 is 1/623007
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 31,63,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,63,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,63,319) x common factors =1 x 1 = 1
LCM(31,63,319) = ( 31 × 63 × 319 ) / 1
LCM(31,63,319) = 623007 / 1
LCM(31,63,319) = 623007
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 449/31, 762/63, 228/319?
Answer: GCF of Numerators as per given numbers 449/31, 762/63, 228/319 is
GCF of Numerators i.e. for 449,762,228 is 1
LCM of denominators i.e. for 31,63,319 is 623007.
Thus, GCF of Fractions is 1/623007.Finally, GCF of Fractions for 449/31, 762/63, 228/319 is 1/623007.