Online GCD Calculator is useful to find the GCD of 588, 340, 253, 142 quickly. Get the easiest ways to solve the greatest common divisor of 588, 340, 253, 142 i.e 1 in different methods as follows.
Given Input numbers are 588, 340, 253, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (588, 340, 253, 142) = 1.
Given numbers are 588, 340, 253, 142
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 253 are 11 x 23
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 588, 340, 253, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 340) = 49980
GCD(588, 340) = ( 588 x 340 ) / 49980
= 588 / 340
= 588
Step2:
LCM(4, 253) = 1012
GCD(4, 253) = ( 4 x 253 ) / 1012
= 4 / 253
= 4
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 588, 340, 253, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 340, 253, 142
The greatest common divisor of numbers 588, 340, 253, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 340, 253, 142 is 1.
1. What is the GCD of 588, 340, 253, 142?
GCD of given numbers 588, 340, 253, 142 is 1
2. How to calculate the greatest common divisor of 588, 340, 253, 142?
We can find the highest common divisor of 588, 340, 253, 142 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 588, 340, 253, 142 i.e 1.
3. How can I use the GCD of 588, 340, 253, 142Calculator?
Out the numbers 588, 340, 253, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.