Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 782/17,420/57,592/151
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 782,420,592
Greatest Common Factor of Numerators i.e. GCF of 782,420,592 is 2 .
LCM of Denominators means LCM of 17,57,151 as per the given fractions.
LCM of 17,57,151 is 146319 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 782,420,592
2 | 782, 420, 592 |
391, 210, 296 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 782,420,592 . The biggest common factor number is the GCF number.
So the greatest common factor 782,420,592 is 2.
Lets's calculate LCM of 17,57,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 146319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/146319
Therefore, the GCF of Fractions 782/17,420/57,592/151 is 2/146319
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 17,57,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,57,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,57,151) x common factors =1 x 1 = 1
LCM(17,57,151) = ( 17 × 57 × 151 ) / 1
LCM(17,57,151) = 146319 / 1
LCM(17,57,151) = 146319
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 782/17, 420/57, 592/151?
Answer: GCF of Numerators as per given numbers 782/17, 420/57, 592/151 is
GCF of Numerators i.e. for 782,420,592 is 2
LCM of denominators i.e. for 17,57,151 is 146319.
Thus, GCF of Fractions is 2/146319.Finally, GCF of Fractions for 782/17, 420/57, 592/151 is 2/146319.