Online GCD Calculator is useful to find the GCD of 687, 581, 542, 140 quickly. Get the easiest ways to solve the greatest common divisor of 687, 581, 542, 140 i.e 1 in different methods as follows.
Given Input numbers are 687, 581, 542, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 581 :
The positive integer divisors of 581 that completely divides 581 are.
1, 7, 83, 581
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
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
GCD of numbers is the greatest common divisor
So, the GCD (687, 581, 542, 140) = 1.
Given numbers are 687, 581, 542, 140
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 581 are 7 x 83
Prime factors of 542 are 2 x 271
Prime factors of 140 are 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 687, 581, 542, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 581) = 399147
GCD(687, 581) = ( 687 x 581 ) / 399147
= 687 / 581
= 687
Step2:
LCM(1, 542) = 542
GCD(1, 542) = ( 1 x 542 ) / 542
= 1 / 542
= 1
Step3:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 687, 581, 542, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 581, 542, 140
The greatest common divisor of numbers 687, 581, 542, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 581, 542, 140 is 1.
1. What is the GCD of 687, 581, 542, 140?
GCD of given numbers 687, 581, 542, 140 is 1
2. How to calculate the greatest common divisor of 687, 581, 542, 140?
We can find the highest common divisor of 687, 581, 542, 140 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 687, 581, 542, 140 i.e 1.
3. How can I use the GCD of 687, 581, 542, 140Calculator?
Out the numbers 687, 581, 542, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.