Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 754/23,489/13,687/35
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 754,489,687
Greatest Common Factor of Numerators i.e. GCF of 754,489,687 is 1 .
LCM of Denominators means LCM of 23,13,35 as per the given fractions.
LCM of 23,13,35 is 10465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 754,489,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 754,489,687 . The biggest common factor number is the GCF number.
So the greatest common factor 754,489,687 is 1.
Lets's calculate LCM of 23,13,35
Given numbers has no common factors except 1. So, there LCM is their product i.e 10465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10465
Therefore, the GCF of Fractions 754/23,489/13,687/35 is 1/10465
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 23,13,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,13,35) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,13,35) x common factors =1 x 1 = 1
LCM(23,13,35) = ( 23 × 13 × 35 ) / 1
LCM(23,13,35) = 10465 / 1
LCM(23,13,35) = 10465
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 754/23, 489/13, 687/35?
Answer: GCF of Numerators as per given numbers 754/23, 489/13, 687/35 is
GCF of Numerators i.e. for 754,489,687 is 1
LCM of denominators i.e. for 23,13,35 is 10465.
Thus, GCF of Fractions is 1/10465.Finally, GCF of Fractions for 754/23, 489/13, 687/35 is 1/10465.