Online GCD Calculator is useful to find the GCD of 469, 400, 282, 942 quickly. Get the easiest ways to solve the greatest common divisor of 469, 400, 282, 942 i.e 1 in different methods as follows.
Given Input numbers are 469, 400, 282, 942
In the factoring method, we have to find the divisors of all numbers
Divisors of 469 :
The positive integer divisors of 469 that completely divides 469 are.
1, 7, 67, 469
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
GCD of numbers is the greatest common divisor
So, the GCD (469, 400, 282, 942) = 1.
Given numbers are 469, 400, 282, 942
The list of prime factors of all numbers are
Prime factors of 469 are 7 x 67
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 282 are 2 x 3 x 47
Prime factors of 942 are 2 x 3 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 469, 400, 282, 942
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(469, 400) = 187600
GCD(469, 400) = ( 469 x 400 ) / 187600
= 469 / 400
= 469
Step2:
LCM(1, 282) = 282
GCD(1, 282) = ( 1 x 282 ) / 282
= 1 / 282
= 1
Step3:
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
= 1 / 942
= 1
So, Greatest Common Divisor of 469, 400, 282, 942 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 469, 400, 282, 942
The greatest common divisor of numbers 469, 400, 282, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 400, 282, 942 is 1.
1. What is the GCD of 469, 400, 282, 942?
GCD of given numbers 469, 400, 282, 942 is 1
2. How to calculate the greatest common divisor of 469, 400, 282, 942?
We can find the highest common divisor of 469, 400, 282, 942 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 469, 400, 282, 942 i.e 1.
3. How can I use the GCD of 469, 400, 282, 942Calculator?
Out the numbers 469, 400, 282, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.