Online GCD Calculator is useful to find the GCD of 200, 121, 762, 272 quickly. Get the easiest ways to solve the greatest common divisor of 200, 121, 762, 272 i.e 1 in different methods as follows.
Given Input numbers are 200, 121, 762, 272
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 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (200, 121, 762, 272) = 1.
Given numbers are 200, 121, 762, 272
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 121 are 11 x 11
Prime factors of 762 are 2 x 3 x 127
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 121, 762, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 121) = 24200
GCD(200, 121) = ( 200 x 121 ) / 24200
= 200 / 121
= 200
Step2:
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
= 1 / 762
= 1
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 200, 121, 762, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 121, 762, 272
The greatest common divisor of numbers 200, 121, 762, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 121, 762, 272 is 1.
1. What is the GCD of 200, 121, 762, 272?
GCD of given numbers 200, 121, 762, 272 is 1
2. How to calculate the greatest common divisor of 200, 121, 762, 272?
We can find the highest common divisor of 200, 121, 762, 272 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, 121, 762, 272 i.e 1.
3. How can I use the GCD of 200, 121, 762, 272Calculator?
Out the numbers 200, 121, 762, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.