Online GCD Calculator is useful to find the GCD of 800, 896, 546, 693 quickly. Get the easiest ways to solve the greatest common divisor of 800, 896, 546, 693 i.e 1 in different methods as follows.
Given Input numbers are 800, 896, 546, 693
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
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 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
GCD of numbers is the greatest common divisor
So, the GCD (800, 896, 546, 693) = 1.
Given numbers are 800, 896, 546, 693
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 693 are 3 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 896, 546, 693
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 896) = 22400
GCD(800, 896) = ( 800 x 896 ) / 22400
= 800 / 896
= 800
Step2:
LCM(32, 546) = 8736
GCD(32, 546) = ( 32 x 546 ) / 8736
= 32 / 546
= 32
Step3:
LCM(2, 693) = 1386
GCD(2, 693) = ( 2 x 693 ) / 1386
= 2 / 693
= 2
So, Greatest Common Divisor of 800, 896, 546, 693 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 896, 546, 693
The greatest common divisor of numbers 800, 896, 546, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 896, 546, 693 is 1.
1. What is the GCD of 800, 896, 546, 693?
GCD of given numbers 800, 896, 546, 693 is 1
2. How to calculate the greatest common divisor of 800, 896, 546, 693?
We can find the highest common divisor of 800, 896, 546, 693 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 800, 896, 546, 693 i.e 1.
3. How can I use the GCD of 800, 896, 546, 693Calculator?
Out the numbers 800, 896, 546, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.