Online GCD Calculator is useful to find the GCD of 677, 720, 564, 900 quickly. Get the easiest ways to solve the greatest common divisor of 677, 720, 564, 900 i.e 1 in different methods as follows.
Given Input numbers are 677, 720, 564, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
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 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
GCD of numbers is the greatest common divisor
So, the GCD (677, 720, 564, 900) = 1.
Given numbers are 677, 720, 564, 900
The list of prime factors of all numbers are
Prime factors of 677 are 677
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 677, 720, 564, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(677, 720) = 487440
GCD(677, 720) = ( 677 x 720 ) / 487440
= 677 / 720
= 677
Step2:
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
= 1 / 564
= 1
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 677, 720, 564, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 677, 720, 564, 900
The greatest common divisor of numbers 677, 720, 564, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 677, 720, 564, 900 is 1.
1. What is the GCD of 677, 720, 564, 900?
GCD of given numbers 677, 720, 564, 900 is 1
2. How to calculate the greatest common divisor of 677, 720, 564, 900?
We can find the highest common divisor of 677, 720, 564, 900 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 677, 720, 564, 900 i.e 1.
3. How can I use the GCD of 677, 720, 564, 900Calculator?
Out the numbers 677, 720, 564, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.