Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 650/420,377/951,105/982
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 650,377,105
Greatest Common Factor of Numerators i.e. GCF of 650,377,105 is 1 .
LCM of Denominators means LCM of 420,951,982 as per the given fractions.
LCM of 420,951,982 is 65371740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 650,377,105
∴ 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 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Greatest Common Factor
We found the factors 650,377,105 . The biggest common factor number is the GCF number.
So the greatest common factor 650,377,105 is 1.
Lets's calculate LCM of 420,951,982
2 | 420, 951, 982 |
3 | 210, 951, 491 |
70, 317, 491 |
∴ So the LCM of the given numbers is 2 x 3 x 70 x 317 x 491 = 65371740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65371740
Therefore, the GCF of Fractions 650/420,377/951,105/982 is 1/65371740
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 420,951,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,951,982) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(420,951,982) x common factors =1 x 6 = 6
LCM(420,951,982) = ( 420 × 951 × 982 ) / 6
LCM(420,951,982) = 392230440 / 6
LCM(420,951,982) = 65371740
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 650/420, 377/951, 105/982?
Answer: GCF of Numerators as per given numbers 650/420, 377/951, 105/982 is
GCF of Numerators i.e. for 650,377,105 is 1
LCM of denominators i.e. for 420,951,982 is 65371740.
Thus, GCF of Fractions is 1/65371740.Finally, GCF of Fractions for 650/420, 377/951, 105/982 is 1/65371740.