Online GCD Calculator is useful to find the GCD of 900, 620, 768, 664 quickly. Get the easiest ways to solve the greatest common divisor of 900, 620, 768, 664 i.e 4 in different methods as follows.
Given Input numbers are 900, 620, 768, 664
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
GCD of numbers is the greatest common divisor
So, the GCD (900, 620, 768, 664) = 4.
Given numbers are 900, 620, 768, 664
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 664 are 2 x 2 x 2 x 83
The highest common occurrence is 22
Therefore, GCD of 900, 620, 768, 664 is 4.
Given numbers are 900, 620, 768, 664
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 620) = 27900
GCD(900, 620) = ( 900 x 620 ) / 27900
= 900 / 620
= 900
Step2:
LCM(20, 768) = 3840
GCD(20, 768) = ( 20 x 768 ) / 3840
= 20 / 768
= 20
Step3:
LCM(4, 664) = 664
GCD(4, 664) = ( 4 x 664 ) / 664
= 4 / 664
= 4
So, Greatest Common Divisor of 900, 620, 768, 664 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 620, 768, 664
The greatest common divisor of numbers 900, 620, 768, 664 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 620, 768, 664 is 4.
1. What is the GCD of 900, 620, 768, 664?
GCD of given numbers 900, 620, 768, 664 is 4
2. How to calculate the greatest common divisor of 900, 620, 768, 664?
We can find the highest common divisor of 900, 620, 768, 664 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 900, 620, 768, 664 i.e 4.
3. How can I use the GCD of 900, 620, 768, 664Calculator?
Out the numbers 900, 620, 768, 664 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.