Online GCD Calculator is useful to find the GCD of 140, 940, 590 quickly. Get the easiest ways to solve the greatest common divisor of 140, 940, 590 i.e 10 in different methods as follows.
Given Input numbers are 140, 940, 590
In the factoring method, we have to find the divisors of all numbers
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
GCD of numbers is the greatest common divisor
So, the GCD (140, 940, 590) = 10.
Given numbers are 140, 940, 590
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 590 are 2 x 5 x 59
The highest common occurrence is 21 x 51
Therefore, GCD of 140, 940, 590 is 10.
Given numbers are 140, 940, 590
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 940) = 6580
GCD(140, 940) = ( 140 x 940 ) / 6580
= 140 / 940
= 140
Step2:
LCM(20, 590) = 1180
GCD(20, 590) = ( 20 x 590 ) / 1180
= 20 / 590
= 20
So, Greatest Common Divisor of 140, 940, 590 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 940, 590
The greatest common divisor of numbers 140, 940, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 940, 590 is 10.
1. What is the GCD of 140, 940, 590?
GCD of given numbers 140, 940, 590 is 10
2. How to calculate the greatest common divisor of 140, 940, 590?
We can find the highest common divisor of 140, 940, 590 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 140, 940, 590 i.e 10.
3. How can I use the GCD of 140, 940, 590Calculator?
Out the numbers 140, 940, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.