Online GCD Calculator is useful to find the GCD of 954, 420, 576, 699 quickly. Get the easiest ways to solve the greatest common divisor of 954, 420, 576, 699 i.e 3 in different methods as follows.
Given Input numbers are 954, 420, 576, 699
In the factoring method, we have to find the divisors of all numbers
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
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 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (954, 420, 576, 699) = 3.
Given numbers are 954, 420, 576, 699
The list of prime factors of all numbers are
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 699 are 3 x 233
The highest common occurrence is 31
Therefore, GCD of 954, 420, 576, 699 is 3.
Given numbers are 954, 420, 576, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(954, 420) = 66780
GCD(954, 420) = ( 954 x 420 ) / 66780
= 954 / 420
= 954
Step2:
LCM(6, 576) = 576
GCD(6, 576) = ( 6 x 576 ) / 576
= 6 / 576
= 6
Step3:
LCM(6, 699) = 1398
GCD(6, 699) = ( 6 x 699 ) / 1398
= 6 / 699
= 6
So, Greatest Common Divisor of 954, 420, 576, 699 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 954, 420, 576, 699
The greatest common divisor of numbers 954, 420, 576, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 420, 576, 699 is 3.
1. What is the GCD of 954, 420, 576, 699?
GCD of given numbers 954, 420, 576, 699 is 3
2. How to calculate the greatest common divisor of 954, 420, 576, 699?
We can find the highest common divisor of 954, 420, 576, 699 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 954, 420, 576, 699 i.e 3.
3. How can I use the GCD of 954, 420, 576, 699Calculator?
Out the numbers 954, 420, 576, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.