Online GCD Calculator is useful to find the GCD of 200, 572, 770, 662 quickly. Get the easiest ways to solve the greatest common divisor of 200, 572, 770, 662 i.e 2 in different methods as follows.
Given Input numbers are 200, 572, 770, 662
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
GCD of numbers is the greatest common divisor
So, the GCD (200, 572, 770, 662) = 2.
Given numbers are 200, 572, 770, 662
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 662 are 2 x 331
The highest common occurrence is 21
Therefore, GCD of 200, 572, 770, 662 is 2.
Given numbers are 200, 572, 770, 662
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 572) = 28600
GCD(200, 572) = ( 200 x 572 ) / 28600
= 200 / 572
= 200
Step2:
LCM(4, 770) = 1540
GCD(4, 770) = ( 4 x 770 ) / 1540
= 4 / 770
= 4
Step3:
LCM(2, 662) = 662
GCD(2, 662) = ( 2 x 662 ) / 662
= 2 / 662
= 2
So, Greatest Common Divisor of 200, 572, 770, 662 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 572, 770, 662
The greatest common divisor of numbers 200, 572, 770, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 572, 770, 662 is 2.
1. What is the GCD of 200, 572, 770, 662?
GCD of given numbers 200, 572, 770, 662 is 2
2. How to calculate the greatest common divisor of 200, 572, 770, 662?
We can find the highest common divisor of 200, 572, 770, 662 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 200, 572, 770, 662 i.e 2.
3. How can I use the GCD of 200, 572, 770, 662Calculator?
Out the numbers 200, 572, 770, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.