Online GCD Calculator is useful to find the GCD of 642, 169, 385, 315 quickly. Get the easiest ways to solve the greatest common divisor of 642, 169, 385, 315 i.e 1 in different methods as follows.
Given Input numbers are 642, 169, 385, 315
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 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (642, 169, 385, 315) = 1.
Given numbers are 642, 169, 385, 315
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 169 are 13 x 13
Prime factors of 385 are 5 x 7 x 11
Prime factors of 315 are 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 642, 169, 385, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 169) = 108498
GCD(642, 169) = ( 642 x 169 ) / 108498
= 642 / 169
= 642
Step2:
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
= 1 / 385
= 1
Step3:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
So, Greatest Common Divisor of 642, 169, 385, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 169, 385, 315
The greatest common divisor of numbers 642, 169, 385, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 169, 385, 315 is 1.
1. What is the GCD of 642, 169, 385, 315?
GCD of given numbers 642, 169, 385, 315 is 1
2. How to calculate the greatest common divisor of 642, 169, 385, 315?
We can find the highest common divisor of 642, 169, 385, 315 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, 169, 385, 315 i.e 1.
3. How can I use the GCD of 642, 169, 385, 315Calculator?
Out the numbers 642, 169, 385, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.