Online GCD Calculator is useful to find the GCD of 759, 642, 177, 210 quickly. Get the easiest ways to solve the greatest common divisor of 759, 642, 177, 210 i.e 3 in different methods as follows.
Given Input numbers are 759, 642, 177, 210
In the factoring method, we have to find the divisors of all numbers
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
GCD of numbers is the greatest common divisor
So, the GCD (759, 642, 177, 210) = 3.
Given numbers are 759, 642, 177, 210
The list of prime factors of all numbers are
Prime factors of 759 are 3 x 11 x 23
Prime factors of 642 are 2 x 3 x 107
Prime factors of 177 are 3 x 59
Prime factors of 210 are 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 759, 642, 177, 210 is 3.
Given numbers are 759, 642, 177, 210
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(759, 642) = 162426
GCD(759, 642) = ( 759 x 642 ) / 162426
= 759 / 642
= 759
Step2:
LCM(3, 177) = 177
GCD(3, 177) = ( 3 x 177 ) / 177
= 3 / 177
= 3
Step3:
LCM(3, 210) = 210
GCD(3, 210) = ( 3 x 210 ) / 210
= 3 / 210
= 3
So, Greatest Common Divisor of 759, 642, 177, 210 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 759, 642, 177, 210
The greatest common divisor of numbers 759, 642, 177, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 642, 177, 210 is 3.
1. What is the GCD of 759, 642, 177, 210?
GCD of given numbers 759, 642, 177, 210 is 3
2. How to calculate the greatest common divisor of 759, 642, 177, 210?
We can find the highest common divisor of 759, 642, 177, 210 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 759, 642, 177, 210 i.e 3.
3. How can I use the GCD of 759, 642, 177, 210Calculator?
Out the numbers 759, 642, 177, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.