Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 655/228,752/484,981/790
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 655,752,981
Greatest Common Factor of Numerators i.e. GCF of 655,752,981 is 1 .
LCM of Denominators means LCM of 228,484,790 as per the given fractions.
LCM of 228,484,790 is 10897260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 655,752,981
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Greatest Common Factor
We found the factors 655,752,981 . The biggest common factor number is the GCF number.
So the greatest common factor 655,752,981 is 1.
Lets's calculate LCM of 228,484,790
2 | 228, 484, 790 |
2 | 114, 242, 395 |
57, 121, 395 |
∴ So the LCM of the given numbers is 2 x 2 x 57 x 121 x 395 = 10897260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10897260
Therefore, the GCF of Fractions 655/228,752/484,981/790 is 1/10897260
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 228,484,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,484,790) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(228,484,790) x common factors =2 x 4 = 8
LCM(228,484,790) = ( 228 × 484 × 790 ) / 8
LCM(228,484,790) = 87178080 / 8
LCM(228,484,790) = 10897260
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 655/228, 752/484, 981/790?
Answer: GCF of Numerators as per given numbers 655/228, 752/484, 981/790 is
GCF of Numerators i.e. for 655,752,981 is 1
LCM of denominators i.e. for 228,484,790 is 10897260.
Thus, GCF of Fractions is 1/10897260.Finally, GCF of Fractions for 655/228, 752/484, 981/790 is 1/10897260.