Online GCD Calculator is useful to find the GCD of 642, 552, 309, 407 quickly. Get the easiest ways to solve the greatest common divisor of 642, 552, 309, 407 i.e 1 in different methods as follows.
Given Input numbers are 642, 552, 309, 407
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 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
GCD of numbers is the greatest common divisor
So, the GCD (642, 552, 309, 407) = 1.
Given numbers are 642, 552, 309, 407
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 309 are 3 x 103
Prime factors of 407 are 11 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 642, 552, 309, 407
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 552) = 59064
GCD(642, 552) = ( 642 x 552 ) / 59064
= 642 / 552
= 642
Step2:
LCM(6, 309) = 618
GCD(6, 309) = ( 6 x 309 ) / 618
= 6 / 309
= 6
Step3:
LCM(3, 407) = 1221
GCD(3, 407) = ( 3 x 407 ) / 1221
= 3 / 407
= 3
So, Greatest Common Divisor of 642, 552, 309, 407 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 552, 309, 407
The greatest common divisor of numbers 642, 552, 309, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 552, 309, 407 is 1.
1. What is the GCD of 642, 552, 309, 407?
GCD of given numbers 642, 552, 309, 407 is 1
2. How to calculate the greatest common divisor of 642, 552, 309, 407?
We can find the highest common divisor of 642, 552, 309, 407 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, 552, 309, 407 i.e 1.
3. How can I use the GCD of 642, 552, 309, 407Calculator?
Out the numbers 642, 552, 309, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.