Online GCD Calculator is useful to find the GCD of 392, 564, 561, 840 quickly. Get the easiest ways to solve the greatest common divisor of 392, 564, 561, 840 i.e 1 in different methods as follows.
Given Input numbers are 392, 564, 561, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (392, 564, 561, 840) = 1.
Given numbers are 392, 564, 561, 840
The list of prime factors of all numbers are
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 561 are 3 x 11 x 17
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 392, 564, 561, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(392, 564) = 55272
GCD(392, 564) = ( 392 x 564 ) / 55272
= 392 / 564
= 392
Step2:
LCM(4, 561) = 2244
GCD(4, 561) = ( 4 x 561 ) / 2244
= 4 / 561
= 4
Step3:
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
= 1 / 840
= 1
So, Greatest Common Divisor of 392, 564, 561, 840 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 392, 564, 561, 840
The greatest common divisor of numbers 392, 564, 561, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 564, 561, 840 is 1.
1. What is the GCD of 392, 564, 561, 840?
GCD of given numbers 392, 564, 561, 840 is 1
2. How to calculate the greatest common divisor of 392, 564, 561, 840?
We can find the highest common divisor of 392, 564, 561, 840 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 392, 564, 561, 840 i.e 1.
3. How can I use the GCD of 392, 564, 561, 840Calculator?
Out the numbers 392, 564, 561, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.