Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/62,599/26,333/52
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 7,599,333
Greatest Common Factor of Numerators i.e. GCF of 7,599,333 is 1 .
LCM of Denominators means LCM of 62,26,52 as per the given fractions.
LCM of 62,26,52 is 1612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,599,333
∴ 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 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Greatest Common Factor
We found the factors 7,599,333 . The biggest common factor number is the GCF number.
So the greatest common factor 7,599,333 is 1.
Lets's calculate LCM of 62,26,52
2 | 62, 26, 52 |
13 | 31, 13, 26 |
31, 1, 2 |
∴ So the LCM of the given numbers is 2 x 13 x 31 x 1 x 2 = 1612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1612
Therefore, the GCF of Fractions 7/62,599/26,333/52 is 1/1612
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 62,26,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,26,52) = 2
common factors(in case of two or more numbers have common factors) = 26
GCF(62,26,52) x common factors =2 x 26 = 52
LCM(62,26,52) = ( 62 × 26 × 52 ) / 52
LCM(62,26,52) = 83824 / 52
LCM(62,26,52) = 1612
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 7/62, 599/26, 333/52?
Answer: GCF of Numerators as per given numbers 7/62, 599/26, 333/52 is
GCF of Numerators i.e. for 7,599,333 is 1
LCM of denominators i.e. for 62,26,52 is 1612.
Thus, GCF of Fractions is 1/1612.Finally, GCF of Fractions for 7/62, 599/26, 333/52 is 1/1612.