Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2665/76,6639/152
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 2665,6639
Greatest Common Factor of Numerators i.e. GCF of 2665,6639 is 1 .
LCM of Denominators means LCM of 76,152 as per the given fractions.
LCM of 76,152 is 152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2665,6639
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2665
List of positive integer factors of 2665 that divides 2665 without a remainder.
1,5,13,41,65,205,533,2665
Factors of 6639
List of positive integer factors of 6639 that divides 6639 without a remainder.
1,3,2213,6639
Greatest Common Factor
We found the factors 2665,6639 . The biggest common factor number is the GCF number.
So the greatest common factor 2665,6639 is 1.
Lets's calculate LCM of 76,152
2 | 76, 152 |
2 | 38, 76 |
19 | 19, 38 |
1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 2 = 152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152
Therefore, the GCF of Fractions 2665/76,6639/152 is 1/152
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 76,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,152) = 76
common factors(in case of two or more numbers have common factors) = 1
GCF(76,152) x common factors =76 x 1 = 76
LCM(76,152) = ( 76 × 152 ) / 76
LCM(76,152) = 11552 / 76
LCM(76,152) = 152
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 2665/76, 6639/152?
Answer: GCF of Numerators as per given numbers 2665/76, 6639/152 is
GCF of Numerators i.e. for 2665,6639 is 1
LCM of denominators i.e. for 76,152 is 152.
Thus, GCF of Fractions is 1/152.Finally, GCF of Fractions for 2665/76, 6639/152 is 1/152.