Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2551/45,2808/265
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 2551,2808
Greatest Common Factor of Numerators i.e. GCF of 2551,2808 is 1 .
LCM of Denominators means LCM of 45,265 as per the given fractions.
LCM of 45,265 is 2385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2551,2808
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2551
List of positive integer factors of 2551 that divides 2551 without a remainder.
1,2551
Factors of 2808
List of positive integer factors of 2808 that divides 2808 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808
Greatest Common Factor
We found the factors 2551,2808 . The biggest common factor number is the GCF number.
So the greatest common factor 2551,2808 is 1.
Lets's calculate LCM of 45,265
5 | 45, 265 |
9, 53 |
∴ So the LCM of the given numbers is 5 x 9 x 53 = 2385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2385
Therefore, the GCF of Fractions 2551/45,2808/265 is 1/2385
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 45,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,265) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(45,265) x common factors =5 x 1 = 5
LCM(45,265) = ( 45 × 265 ) / 5
LCM(45,265) = 11925 / 5
LCM(45,265) = 2385
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 2551/45, 2808/265?
Answer: GCF of Numerators as per given numbers 2551/45, 2808/265 is
GCF of Numerators i.e. for 2551,2808 is 1
LCM of denominators i.e. for 45,265 is 2385.
Thus, GCF of Fractions is 1/2385.Finally, GCF of Fractions for 2551/45, 2808/265 is 1/2385.