Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 897/68,599/31,332/623
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 897,599,332
Greatest Common Factor of Numerators i.e. GCF of 897,599,332 is 1 .
LCM of Denominators means LCM of 68,31,623 as per the given fractions.
LCM of 68,31,623 is 1313284 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 897,599,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 897,599,332 . The biggest common factor number is the GCF number.
So the greatest common factor 897,599,332 is 1.
Lets's calculate LCM of 68,31,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 1313284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1313284
Therefore, the GCF of Fractions 897/68,599/31,332/623 is 1/1313284
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 68,31,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,31,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,31,623) x common factors =1 x 1 = 1
LCM(68,31,623) = ( 68 × 31 × 623 ) / 1
LCM(68,31,623) = 1313284 / 1
LCM(68,31,623) = 1313284
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 897/68, 599/31, 332/623?
Answer: GCF of Numerators as per given numbers 897/68, 599/31, 332/623 is
GCF of Numerators i.e. for 897,599,332 is 1
LCM of denominators i.e. for 68,31,623 is 1313284.
Thus, GCF of Fractions is 1/1313284.Finally, GCF of Fractions for 897/68, 599/31, 332/623 is 1/1313284.