Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/60,83/95,82/212,574/553
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 7,83,82,574
Greatest Common Factor of Numerators i.e. GCF of 7,83,82,574 is 1 .
LCM of Denominators means LCM of 60,95,212,553 as per the given fractions.
LCM of 60,95,212,553 is 33412260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,83,82,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 7,83,82,574 . The biggest common factor number is the GCF number.
So the greatest common factor 7,83,82,574 is 1.
Lets's calculate LCM of 60,95,212,553
2 | 60, 95, 212, 553 |
2 | 30, 95, 106, 553 |
5 | 15, 95, 53, 553 |
3, 19, 53, 553 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 19 x 53 x 553 = 33412260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33412260
Therefore, the GCF of Fractions 7/60,83/95,82/212,574/553 is 1/33412260
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 60,95,212,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,95,212,553) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(60,95,212,553) x common factors =1 x 20 = 20
LCM(60,95,212,553) = ( 60 × 95 × 212 × 553 ) / 20
LCM(60,95,212,553) = 668245200 / 20
LCM(60,95,212,553) = 33412260
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 7/60, 83/95, 82/212, 574/553?
Answer: GCF of Numerators as per given numbers 7/60, 83/95, 82/212, 574/553 is
GCF of Numerators i.e. for 7,83,82,574 is 1
LCM of denominators i.e. for 60,95,212,553 is 33412260.
Thus, GCF of Fractions is 1/33412260.Finally, GCF of Fractions for 7/60, 83/95, 82/212, 574/553 is 1/33412260.