Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 532/26,889/99,657/389
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 532,889,657
Greatest Common Factor of Numerators i.e. GCF of 532,889,657 is 1 .
LCM of Denominators means LCM of 26,99,389 as per the given fractions.
LCM of 26,99,389 is 1001286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 532,889,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Greatest Common Factor
We found the factors 532,889,657 . The biggest common factor number is the GCF number.
So the greatest common factor 532,889,657 is 1.
Lets's calculate LCM of 26,99,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 1001286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1001286
Therefore, the GCF of Fractions 532/26,889/99,657/389 is 1/1001286
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 26,99,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,99,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,99,389) x common factors =1 x 1 = 1
LCM(26,99,389) = ( 26 × 99 × 389 ) / 1
LCM(26,99,389) = 1001286 / 1
LCM(26,99,389) = 1001286
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 532/26, 889/99, 657/389?
Answer: GCF of Numerators as per given numbers 532/26, 889/99, 657/389 is
GCF of Numerators i.e. for 532,889,657 is 1
LCM of denominators i.e. for 26,99,389 is 1001286.
Thus, GCF of Fractions is 1/1001286.Finally, GCF of Fractions for 532/26, 889/99, 657/389 is 1/1001286.