Online GCD Calculator is useful to find the GCD of 897, 168, 708, 429 quickly. Get the easiest ways to solve the greatest common divisor of 897, 168, 708, 429 i.e 3 in different methods as follows.
Given Input numbers are 897, 168, 708, 429
In the factoring method, we have to find the divisors of all numbers
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
GCD of numbers is the greatest common divisor
So, the GCD (897, 168, 708, 429) = 3.
Given numbers are 897, 168, 708, 429
The list of prime factors of all numbers are
Prime factors of 897 are 3 x 13 x 23
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 429 are 3 x 11 x 13
The highest common occurrence is 31
Therefore, GCD of 897, 168, 708, 429 is 3.
Given numbers are 897, 168, 708, 429
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(897, 168) = 50232
GCD(897, 168) = ( 897 x 168 ) / 50232
= 897 / 168
= 897
Step2:
LCM(3, 708) = 708
GCD(3, 708) = ( 3 x 708 ) / 708
= 3 / 708
= 3
Step3:
LCM(3, 429) = 429
GCD(3, 429) = ( 3 x 429 ) / 429
= 3 / 429
= 3
So, Greatest Common Divisor of 897, 168, 708, 429 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 897, 168, 708, 429
The greatest common divisor of numbers 897, 168, 708, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 168, 708, 429 is 3.
1. What is the GCD of 897, 168, 708, 429?
GCD of given numbers 897, 168, 708, 429 is 3
2. How to calculate the greatest common divisor of 897, 168, 708, 429?
We can find the highest common divisor of 897, 168, 708, 429 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 897, 168, 708, 429 i.e 3.
3. How can I use the GCD of 897, 168, 708, 429Calculator?
Out the numbers 897, 168, 708, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.