Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 906/47,539/53,390/220
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 906,539,390
Greatest Common Factor of Numerators i.e. GCF of 906,539,390 is 1 .
LCM of Denominators means LCM of 47,53,220 as per the given fractions.
LCM of 47,53,220 is 548020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 906,539,390
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 906,539,390 . The biggest common factor number is the GCF number.
So the greatest common factor 906,539,390 is 1.
Lets's calculate LCM of 47,53,220
Given numbers has no common factors except 1. So, there LCM is their product i.e 548020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/548020
Therefore, the GCF of Fractions 906/47,539/53,390/220 is 1/548020
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 47,53,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,53,220) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,53,220) x common factors =1 x 1 = 1
LCM(47,53,220) = ( 47 × 53 × 220 ) / 1
LCM(47,53,220) = 548020 / 1
LCM(47,53,220) = 548020
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 906/47, 539/53, 390/220?
Answer: GCF of Numerators as per given numbers 906/47, 539/53, 390/220 is
GCF of Numerators i.e. for 906,539,390 is 1
LCM of denominators i.e. for 47,53,220 is 548020.
Thus, GCF of Fractions is 1/548020.Finally, GCF of Fractions for 906/47, 539/53, 390/220 is 1/548020.