Online GCD Calculator is useful to find the GCD of 693, 546, 938, 420 quickly. Get the easiest ways to solve the greatest common divisor of 693, 546, 938, 420 i.e 7 in different methods as follows.
Given Input numbers are 693, 546, 938, 420
In the factoring method, we have to find the divisors of all numbers
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 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (693, 546, 938, 420) = 7.
Given numbers are 693, 546, 938, 420
The list of prime factors of all numbers are
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 938 are 2 x 7 x 67
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 71
Therefore, GCD of 693, 546, 938, 420 is 7.
Given numbers are 693, 546, 938, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(693, 546) = 18018
GCD(693, 546) = ( 693 x 546 ) / 18018
= 693 / 546
= 693
Step2:
LCM(21, 938) = 2814
GCD(21, 938) = ( 21 x 938 ) / 2814
= 21 / 938
= 21
Step3:
LCM(7, 420) = 420
GCD(7, 420) = ( 7 x 420 ) / 420
= 7 / 420
= 7
So, Greatest Common Divisor of 693, 546, 938, 420 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 693, 546, 938, 420
The greatest common divisor of numbers 693, 546, 938, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 546, 938, 420 is 7.
1. What is the GCD of 693, 546, 938, 420?
GCD of given numbers 693, 546, 938, 420 is 7
2. How to calculate the greatest common divisor of 693, 546, 938, 420?
We can find the highest common divisor of 693, 546, 938, 420 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 693, 546, 938, 420 i.e 7.
3. How can I use the GCD of 693, 546, 938, 420Calculator?
Out the numbers 693, 546, 938, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.