Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 621/79,492/15,575/412
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 621,492,575
Greatest Common Factor of Numerators i.e. GCF of 621,492,575 is 1 .
LCM of Denominators means LCM of 79,15,412 as per the given fractions.
LCM of 79,15,412 is 488220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 621,492,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 621,492,575 . The biggest common factor number is the GCF number.
So the greatest common factor 621,492,575 is 1.
Lets's calculate LCM of 79,15,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 488220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/488220
Therefore, the GCF of Fractions 621/79,492/15,575/412 is 1/488220
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 79,15,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,15,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,15,412) x common factors =1 x 1 = 1
LCM(79,15,412) = ( 79 × 15 × 412 ) / 1
LCM(79,15,412) = 488220 / 1
LCM(79,15,412) = 488220
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 621/79, 492/15, 575/412?
Answer: GCF of Numerators as per given numbers 621/79, 492/15, 575/412 is
GCF of Numerators i.e. for 621,492,575 is 1
LCM of denominators i.e. for 79,15,412 is 488220.
Thus, GCF of Fractions is 1/488220.Finally, GCF of Fractions for 621/79, 492/15, 575/412 is 1/488220.