Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 740/89,971/27,817/385
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 740,971,817
Greatest Common Factor of Numerators i.e. GCF of 740,971,817 is 1 .
LCM of Denominators means LCM of 89,27,385 as per the given fractions.
LCM of 89,27,385 is 925155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 740,971,817
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Greatest Common Factor
We found the factors 740,971,817 . The biggest common factor number is the GCF number.
So the greatest common factor 740,971,817 is 1.
Lets's calculate LCM of 89,27,385
Given numbers has no common factors except 1. So, there LCM is their product i.e 925155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/925155
Therefore, the GCF of Fractions 740/89,971/27,817/385 is 1/925155
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 89,27,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,27,385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,27,385) x common factors =1 x 1 = 1
LCM(89,27,385) = ( 89 × 27 × 385 ) / 1
LCM(89,27,385) = 925155 / 1
LCM(89,27,385) = 925155
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 740/89, 971/27, 817/385?
Answer: GCF of Numerators as per given numbers 740/89, 971/27, 817/385 is
GCF of Numerators i.e. for 740,971,817 is 1
LCM of denominators i.e. for 89,27,385 is 925155.
Thus, GCF of Fractions is 1/925155.Finally, GCF of Fractions for 740/89, 971/27, 817/385 is 1/925155.