Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 650/290,597/166,314/551
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 650,597,314
Greatest Common Factor of Numerators i.e. GCF of 650,597,314 is 1 .
LCM of Denominators means LCM of 290,166,551 as per the given fractions.
LCM of 290,166,551 is 457330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 650,597,314
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Greatest Common Factor
We found the factors 650,597,314 . The biggest common factor number is the GCF number.
So the greatest common factor 650,597,314 is 1.
Lets's calculate LCM of 290,166,551
2 | 290, 166, 551 |
29 | 145, 83, 551 |
5, 83, 19 |
∴ So the LCM of the given numbers is 2 x 29 x 5 x 83 x 19 = 457330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/457330
Therefore, the GCF of Fractions 650/290,597/166,314/551 is 1/457330
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 290,166,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,166,551) = 1
common factors(in case of two or more numbers have common factors) = 58
GCF(290,166,551) x common factors =1 x 58 = 58
LCM(290,166,551) = ( 290 × 166 × 551 ) / 58
LCM(290,166,551) = 26525140 / 58
LCM(290,166,551) = 457330
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 650/290, 597/166, 314/551?
Answer: GCF of Numerators as per given numbers 650/290, 597/166, 314/551 is
GCF of Numerators i.e. for 650,597,314 is 1
LCM of denominators i.e. for 290,166,551 is 457330.
Thus, GCF of Fractions is 1/457330.Finally, GCF of Fractions for 650/290, 597/166, 314/551 is 1/457330.