Online GCD Calculator is useful to find the GCD of 272, 435, 528, 200 quickly. Get the easiest ways to solve the greatest common divisor of 272, 435, 528, 200 i.e 1 in different methods as follows.
Given Input numbers are 272, 435, 528, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
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 (272, 435, 528, 200) = 1.
Given numbers are 272, 435, 528, 200
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 435 are 3 x 5 x 29
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 435, 528, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 435) = 118320
GCD(272, 435) = ( 272 x 435 ) / 118320
= 272 / 435
= 272
Step2:
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
= 1 / 528
= 1
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 272, 435, 528, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 435, 528, 200
The greatest common divisor of numbers 272, 435, 528, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 435, 528, 200 is 1.
1. What is the GCD of 272, 435, 528, 200?
GCD of given numbers 272, 435, 528, 200 is 1
2. How to calculate the greatest common divisor of 272, 435, 528, 200?
We can find the highest common divisor of 272, 435, 528, 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 272, 435, 528, 200 i.e 1.
3. How can I use the GCD of 272, 435, 528, 200Calculator?
Out the numbers 272, 435, 528, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.