Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 740/164,723/779
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 740,723
Greatest Common Factor of Numerators i.e. GCF of 740,723 is 1 .
LCM of Denominators means LCM of 164,779 as per the given fractions.
LCM of 164,779 is 3116 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 740,723
∴ 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 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 740,723 . The biggest common factor number is the GCF number.
So the greatest common factor 740,723 is 1.
Lets's calculate LCM of 164,779
41 | 164, 779 |
4, 19 |
∴ So the LCM of the given numbers is 41 x 4 x 19 = 3116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3116
Therefore, the GCF of Fractions 740/164,723/779 is 1/3116
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 164,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,779) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(164,779) x common factors =41 x 1 = 41
LCM(164,779) = ( 164 × 779 ) / 41
LCM(164,779) = 127756 / 41
LCM(164,779) = 3116
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 740/164, 723/779?
Answer: GCF of Numerators as per given numbers 740/164, 723/779 is
GCF of Numerators i.e. for 740,723 is 1
LCM of denominators i.e. for 164,779 is 3116.
Thus, GCF of Fractions is 1/3116.Finally, GCF of Fractions for 740/164, 723/779 is 1/3116.