Online GCD Calculator is useful to find the GCD of 177, 561, 921, 699 quickly. Get the easiest ways to solve the greatest common divisor of 177, 561, 921, 699 i.e 3 in different methods as follows.
Given Input numbers are 177, 561, 921, 699
In the factoring method, we have to find the divisors of all numbers
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (177, 561, 921, 699) = 3.
Given numbers are 177, 561, 921, 699
The list of prime factors of all numbers are
Prime factors of 177 are 3 x 59
Prime factors of 561 are 3 x 11 x 17
Prime factors of 921 are 3 x 307
Prime factors of 699 are 3 x 233
The highest common occurrence is 31
Therefore, GCD of 177, 561, 921, 699 is 3.
Given numbers are 177, 561, 921, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(177, 561) = 33099
GCD(177, 561) = ( 177 x 561 ) / 33099
= 177 / 561
= 177
Step2:
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
= 3 / 921
= 3
Step3:
LCM(3, 699) = 699
GCD(3, 699) = ( 3 x 699 ) / 699
= 3 / 699
= 3
So, Greatest Common Divisor of 177, 561, 921, 699 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 177, 561, 921, 699
The greatest common divisor of numbers 177, 561, 921, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 177, 561, 921, 699 is 3.
1. What is the GCD of 177, 561, 921, 699?
GCD of given numbers 177, 561, 921, 699 is 3
2. How to calculate the greatest common divisor of 177, 561, 921, 699?
We can find the highest common divisor of 177, 561, 921, 699 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 177, 561, 921, 699 i.e 3.
3. How can I use the GCD of 177, 561, 921, 699Calculator?
Out the numbers 177, 561, 921, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.