Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1296/955,2544/7754
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 1296,2544
Greatest Common Factor of Numerators i.e. GCF of 1296,2544 is 48 .
LCM of Denominators means LCM of 955,7754 as per the given fractions.
LCM of 955,7754 is 7405070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1296,2544
2 | 1296, 2544 |
2 | 648, 1272 |
2 | 324, 636 |
2 | 162, 318 |
3 | 81, 159 |
27, 53 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Factors of 1296
List of positive integer factors of 1296 that divides 1296 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296
Factors of 2544
List of positive integer factors of 2544 that divides 2544 without a remainder.
1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544
Greatest Common Factor
We found the factors 1296,2544 . The biggest common factor number is the GCF number.
So the greatest common factor 1296,2544 is 48.
Lets's calculate LCM of 955,7754
Given numbers has no common factors except 1. So, there LCM is their product i.e 7405070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/7405070
Therefore, the GCF of Fractions 1296/955,2544/7754 is 48/7405070
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 955,7754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,7754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,7754) x common factors =1 x 1 = 1
LCM(955,7754) = ( 955 × 7754 ) / 1
LCM(955,7754) = 7405070 / 1
LCM(955,7754) = 7405070
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 1296/955, 2544/7754?
Answer: GCF of Numerators as per given numbers 1296/955, 2544/7754 is
GCF of Numerators i.e. for 1296,2544 is 48
LCM of denominators i.e. for 955,7754 is 7405070.
Thus, GCF of Fractions is 48/7405070.Finally, GCF of Fractions for 1296/955, 2544/7754 is 48/7405070.