Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 528/91,159/32,151/641
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 528,159,151
Greatest Common Factor of Numerators i.e. GCF of 528,159,151 is 1 .
LCM of Denominators means LCM of 91,32,641 as per the given fractions.
LCM of 91,32,641 is 1866592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 528,159,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 528,159,151 . The biggest common factor number is the GCF number.
So the greatest common factor 528,159,151 is 1.
Lets's calculate LCM of 91,32,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 1866592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1866592
Therefore, the GCF of Fractions 528/91,159/32,151/641 is 1/1866592
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 91,32,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,32,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,32,641) x common factors =1 x 1 = 1
LCM(91,32,641) = ( 91 × 32 × 641 ) / 1
LCM(91,32,641) = 1866592 / 1
LCM(91,32,641) = 1866592
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 528/91, 159/32, 151/641?
Answer: GCF of Numerators as per given numbers 528/91, 159/32, 151/641 is
GCF of Numerators i.e. for 528,159,151 is 1
LCM of denominators i.e. for 91,32,641 is 1866592.
Thus, GCF of Fractions is 1/1866592.Finally, GCF of Fractions for 528/91, 159/32, 151/641 is 1/1866592.