Online GCD Calculator is useful to find the GCD of 720, 874, 562, 200 quickly. Get the easiest ways to solve the greatest common divisor of 720, 874, 562, 200 i.e 2 in different methods as follows.
Given Input numbers are 720, 874, 562, 200
In the factoring method, we have to find the divisors of all numbers
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 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (720, 874, 562, 200) = 2.
Given numbers are 720, 874, 562, 200
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 874 are 2 x 19 x 23
Prime factors of 562 are 2 x 281
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 720, 874, 562, 200 is 2.
Given numbers are 720, 874, 562, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 874) = 314640
GCD(720, 874) = ( 720 x 874 ) / 314640
= 720 / 874
= 720
Step2:
LCM(2, 562) = 562
GCD(2, 562) = ( 2 x 562 ) / 562
= 2 / 562
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 720, 874, 562, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 874, 562, 200
The greatest common divisor of numbers 720, 874, 562, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 874, 562, 200 is 2.
1. What is the GCD of 720, 874, 562, 200?
GCD of given numbers 720, 874, 562, 200 is 2
2. How to calculate the greatest common divisor of 720, 874, 562, 200?
We can find the highest common divisor of 720, 874, 562, 200 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 720, 874, 562, 200 i.e 2.
3. How can I use the GCD of 720, 874, 562, 200Calculator?
Out the numbers 720, 874, 562, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.