Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 151/82,526/397
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 151,526
Greatest Common Factor of Numerators i.e. GCF of 151,526 is 1 .
LCM of Denominators means LCM of 82,397 as per the given fractions.
LCM of 82,397 is 32554 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 151,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 151,526 . The biggest common factor number is the GCF number.
So the greatest common factor 151,526 is 1.
Lets's calculate LCM of 82,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 32554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32554
Therefore, the GCF of Fractions 151/82,526/397 is 1/32554
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 82,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,397) x common factors =1 x 1 = 1
LCM(82,397) = ( 82 × 397 ) / 1
LCM(82,397) = 32554 / 1
LCM(82,397) = 32554
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 151/82, 526/397?
Answer: GCF of Numerators as per given numbers 151/82, 526/397 is
GCF of Numerators i.e. for 151,526 is 1
LCM of denominators i.e. for 82,397 is 32554.
Thus, GCF of Fractions is 1/32554.Finally, GCF of Fractions for 151/82, 526/397 is 1/32554.