Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/545,137/256
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 79,137
Greatest Common Factor of Numerators i.e. GCF of 79,137 is 1 .
LCM of Denominators means LCM of 545,256 as per the given fractions.
LCM of 545,256 is 139520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 79,137 . The biggest common factor number is the GCF number.
So the greatest common factor 79,137 is 1.
Lets's calculate LCM of 545,256
Given numbers has no common factors except 1. So, there LCM is their product i.e 139520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139520
Therefore, the GCF of Fractions 79/545,137/256 is 1/139520
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 545,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,256) x common factors =1 x 1 = 1
LCM(545,256) = ( 545 × 256 ) / 1
LCM(545,256) = 139520 / 1
LCM(545,256) = 139520
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 79/545, 137/256?
Answer: GCF of Numerators as per given numbers 79/545, 137/256 is
GCF of Numerators i.e. for 79,137 is 1
LCM of denominators i.e. for 545,256 is 139520.
Thus, GCF of Fractions is 1/139520.Finally, GCF of Fractions for 79/545, 137/256 is 1/139520.