Online GCD Calculator is useful to find the GCD of 561, 420, 124, 922 quickly. Get the easiest ways to solve the greatest common divisor of 561, 420, 124, 922 i.e 1 in different methods as follows.
Given Input numbers are 561, 420, 124, 922
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
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
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
GCD of numbers is the greatest common divisor
So, the GCD (561, 420, 124, 922) = 1.
Given numbers are 561, 420, 124, 922
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 124 are 2 x 2 x 31
Prime factors of 922 are 2 x 461
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 420, 124, 922
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 420) = 78540
GCD(561, 420) = ( 561 x 420 ) / 78540
= 561 / 420
= 561
Step2:
LCM(3, 124) = 372
GCD(3, 124) = ( 3 x 124 ) / 372
= 3 / 124
= 3
Step3:
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
= 1 / 922
= 1
So, Greatest Common Divisor of 561, 420, 124, 922 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 420, 124, 922
The greatest common divisor of numbers 561, 420, 124, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 420, 124, 922 is 1.
1. What is the GCD of 561, 420, 124, 922?
GCD of given numbers 561, 420, 124, 922 is 1
2. How to calculate the greatest common divisor of 561, 420, 124, 922?
We can find the highest common divisor of 561, 420, 124, 922 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 561, 420, 124, 922 i.e 1.
3. How can I use the GCD of 561, 420, 124, 922Calculator?
Out the numbers 561, 420, 124, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.