Online GCD Calculator is useful to find the GCD of 426, 567, 693, 570 quickly. Get the easiest ways to solve the greatest common divisor of 426, 567, 693, 570 i.e 3 in different methods as follows.
Given Input numbers are 426, 567, 693, 570
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
GCD of numbers is the greatest common divisor
So, the GCD (426, 567, 693, 570) = 3.
Given numbers are 426, 567, 693, 570
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 570 are 2 x 3 x 5 x 19
The highest common occurrence is 31
Therefore, GCD of 426, 567, 693, 570 is 3.
Given numbers are 426, 567, 693, 570
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 567) = 80514
GCD(426, 567) = ( 426 x 567 ) / 80514
= 426 / 567
= 426
Step2:
LCM(3, 693) = 693
GCD(3, 693) = ( 3 x 693 ) / 693
= 3 / 693
= 3
Step3:
LCM(3, 570) = 570
GCD(3, 570) = ( 3 x 570 ) / 570
= 3 / 570
= 3
So, Greatest Common Divisor of 426, 567, 693, 570 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 567, 693, 570
The greatest common divisor of numbers 426, 567, 693, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 567, 693, 570 is 3.
1. What is the GCD of 426, 567, 693, 570?
GCD of given numbers 426, 567, 693, 570 is 3
2. How to calculate the greatest common divisor of 426, 567, 693, 570?
We can find the highest common divisor of 426, 567, 693, 570 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 426, 567, 693, 570 i.e 3.
3. How can I use the GCD of 426, 567, 693, 570Calculator?
Out the numbers 426, 567, 693, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.