Online GCD Calculator is useful to find the GCD of 680, 542, 200, 572 quickly. Get the easiest ways to solve the greatest common divisor of 680, 542, 200, 572 i.e 2 in different methods as follows.
Given Input numbers are 680, 542, 200, 572
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
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
GCD of numbers is the greatest common divisor
So, the GCD (680, 542, 200, 572) = 2.
Given numbers are 680, 542, 200, 572
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 542 are 2 x 271
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
The highest common occurrence is 21
Therefore, GCD of 680, 542, 200, 572 is 2.
Given numbers are 680, 542, 200, 572
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 542) = 184280
GCD(680, 542) = ( 680 x 542 ) / 184280
= 680 / 542
= 680
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
Step3:
LCM(2, 572) = 572
GCD(2, 572) = ( 2 x 572 ) / 572
= 2 / 572
= 2
So, Greatest Common Divisor of 680, 542, 200, 572 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 542, 200, 572
The greatest common divisor of numbers 680, 542, 200, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 542, 200, 572 is 2.
1. What is the GCD of 680, 542, 200, 572?
GCD of given numbers 680, 542, 200, 572 is 2
2. How to calculate the greatest common divisor of 680, 542, 200, 572?
We can find the highest common divisor of 680, 542, 200, 572 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 680, 542, 200, 572 i.e 2.
3. How can I use the GCD of 680, 542, 200, 572Calculator?
Out the numbers 680, 542, 200, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.