Online GCD Calculator is useful to find the GCD of 400, 102, 170, 642 quickly. Get the easiest ways to solve the greatest common divisor of 400, 102, 170, 642 i.e 2 in different methods as follows.
Given Input numbers are 400, 102, 170, 642
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (400, 102, 170, 642) = 2.
Given numbers are 400, 102, 170, 642
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 102 are 2 x 3 x 17
Prime factors of 170 are 2 x 5 x 17
Prime factors of 642 are 2 x 3 x 107
The highest common occurrence is 21
Therefore, GCD of 400, 102, 170, 642 is 2.
Given numbers are 400, 102, 170, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 102) = 20400
GCD(400, 102) = ( 400 x 102 ) / 20400
= 400 / 102
= 400
Step2:
LCM(2, 170) = 170
GCD(2, 170) = ( 2 x 170 ) / 170
= 2 / 170
= 2
Step3:
LCM(2, 642) = 642
GCD(2, 642) = ( 2 x 642 ) / 642
= 2 / 642
= 2
So, Greatest Common Divisor of 400, 102, 170, 642 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 102, 170, 642
The greatest common divisor of numbers 400, 102, 170, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 102, 170, 642 is 2.
1. What is the GCD of 400, 102, 170, 642?
GCD of given numbers 400, 102, 170, 642 is 2
2. How to calculate the greatest common divisor of 400, 102, 170, 642?
We can find the highest common divisor of 400, 102, 170, 642 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 400, 102, 170, 642 i.e 2.
3. How can I use the GCD of 400, 102, 170, 642Calculator?
Out the numbers 400, 102, 170, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.