Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 545/655,971/604,995/484
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 545,971,995
Greatest Common Factor of Numerators i.e. GCF of 545,971,995 is 1 .
LCM of Denominators means LCM of 655,604,484 as per the given fractions.
LCM of 655,604,484 is 47870020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 545,971,995
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Greatest Common Factor
We found the factors 545,971,995 . The biggest common factor number is the GCF number.
So the greatest common factor 545,971,995 is 1.
Lets's calculate LCM of 655,604,484
2 | 655, 604, 484 |
2 | 655, 302, 242 |
655, 151, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 655 x 151 x 121 = 47870020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47870020
Therefore, the GCF of Fractions 545/655,971/604,995/484 is 1/47870020
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 655,604,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,604,484) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(655,604,484) x common factors =1 x 4 = 4
LCM(655,604,484) = ( 655 × 604 × 484 ) / 4
LCM(655,604,484) = 191480080 / 4
LCM(655,604,484) = 47870020
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 545/655, 971/604, 995/484?
Answer: GCF of Numerators as per given numbers 545/655, 971/604, 995/484 is
GCF of Numerators i.e. for 545,971,995 is 1
LCM of denominators i.e. for 655,604,484 is 47870020.
Thus, GCF of Fractions is 1/47870020.Finally, GCF of Fractions for 545/655, 971/604, 995/484 is 1/47870020.