Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 545/56,151/56,521/153
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 545,151,521
Greatest Common Factor of Numerators i.e. GCF of 545,151,521 is 1 .
LCM of Denominators means LCM of 56,56,153 as per the given fractions.
LCM of 56,56,153 is 8568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 545,151,521
∴ 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 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Greatest Common Factor
We found the factors 545,151,521 . The biggest common factor number is the GCF number.
So the greatest common factor 545,151,521 is 1.
Lets's calculate LCM of 56,56,153
2 | 56, 56, 153 |
2 | 28, 28, 153 |
2 | 14, 14, 153 |
7 | 7, 7, 153 |
1, 1, 153 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 1 x 153 = 8568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8568
Therefore, the GCF of Fractions 545/56,151/56,521/153 is 1/8568
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 56,56,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,56,153) = 1
common factors(in case of two or more numbers have common factors) = 56
GCF(56,56,153) x common factors =1 x 56 = 56
LCM(56,56,153) = ( 56 × 56 × 153 ) / 56
LCM(56,56,153) = 479808 / 56
LCM(56,56,153) = 8568
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 545/56, 151/56, 521/153?
Answer: GCF of Numerators as per given numbers 545/56, 151/56, 521/153 is
GCF of Numerators i.e. for 545,151,521 is 1
LCM of denominators i.e. for 56,56,153 is 8568.
Thus, GCF of Fractions is 1/8568.Finally, GCF of Fractions for 545/56, 151/56, 521/153 is 1/8568.