Online GCD Calculator is useful to find the GCD of 642, 705, 684, 542 quickly. Get the easiest ways to solve the greatest common divisor of 642, 705, 684, 542 i.e 1 in different methods as follows.
Given Input numbers are 642, 705, 684, 542
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
GCD of numbers is the greatest common divisor
So, the GCD (642, 705, 684, 542) = 1.
Given numbers are 642, 705, 684, 542
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 705 are 3 x 5 x 47
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 542 are 2 x 271
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 642, 705, 684, 542
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 705) = 150870
GCD(642, 705) = ( 642 x 705 ) / 150870
= 642 / 705
= 642
Step2:
LCM(3, 684) = 684
GCD(3, 684) = ( 3 x 684 ) / 684
= 3 / 684
= 3
Step3:
LCM(3, 542) = 1626
GCD(3, 542) = ( 3 x 542 ) / 1626
= 3 / 542
= 3
So, Greatest Common Divisor of 642, 705, 684, 542 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 705, 684, 542
The greatest common divisor of numbers 642, 705, 684, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 705, 684, 542 is 1.
1. What is the GCD of 642, 705, 684, 542?
GCD of given numbers 642, 705, 684, 542 is 1
2. How to calculate the greatest common divisor of 642, 705, 684, 542?
We can find the highest common divisor of 642, 705, 684, 542 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 642, 705, 684, 542 i.e 1.
3. How can I use the GCD of 642, 705, 684, 542Calculator?
Out the numbers 642, 705, 684, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.