Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7757/144,9549/952
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 7757,9549
Greatest Common Factor of Numerators i.e. GCF of 7757,9549 is 1 .
LCM of Denominators means LCM of 144,952 as per the given fractions.
LCM of 144,952 is 17136 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7757,9549
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7757
List of positive integer factors of 7757 that divides 7757 without a remainder.
1,7757
Factors of 9549
List of positive integer factors of 9549 that divides 9549 without a remainder.
1,3,9,1061,3183,9549
Greatest Common Factor
We found the factors 7757,9549 . The biggest common factor number is the GCF number.
So the greatest common factor 7757,9549 is 1.
Lets's calculate LCM of 144,952
2 | 144, 952 |
2 | 72, 476 |
2 | 36, 238 |
18, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 18 x 119 = 17136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17136
Therefore, the GCF of Fractions 7757/144,9549/952 is 1/17136
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 144,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,952) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(144,952) x common factors =8 x 1 = 8
LCM(144,952) = ( 144 × 952 ) / 8
LCM(144,952) = 137088 / 8
LCM(144,952) = 17136
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 7757/144, 9549/952?
Answer: GCF of Numerators as per given numbers 7757/144, 9549/952 is
GCF of Numerators i.e. for 7757,9549 is 1
LCM of denominators i.e. for 144,952 is 17136.
Thus, GCF of Fractions is 1/17136.Finally, GCF of Fractions for 7757/144, 9549/952 is 1/17136.