Online GCD Calculator is useful to find the GCD of 762, 288, 427, 221 quickly. Get the easiest ways to solve the greatest common divisor of 762, 288, 427, 221 i.e 1 in different methods as follows.
Given Input numbers are 762, 288, 427, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
GCD of numbers is the greatest common divisor
So, the GCD (762, 288, 427, 221) = 1.
Given numbers are 762, 288, 427, 221
The list of prime factors of all numbers are
Prime factors of 762 are 2 x 3 x 127
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 427 are 7 x 61
Prime factors of 221 are 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 762, 288, 427, 221
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(762, 288) = 36576
GCD(762, 288) = ( 762 x 288 ) / 36576
= 762 / 288
= 762
Step2:
LCM(6, 427) = 2562
GCD(6, 427) = ( 6 x 427 ) / 2562
= 6 / 427
= 6
Step3:
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
= 1 / 221
= 1
So, Greatest Common Divisor of 762, 288, 427, 221 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 762, 288, 427, 221
The greatest common divisor of numbers 762, 288, 427, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 288, 427, 221 is 1.
1. What is the GCD of 762, 288, 427, 221?
GCD of given numbers 762, 288, 427, 221 is 1
2. How to calculate the greatest common divisor of 762, 288, 427, 221?
We can find the highest common divisor of 762, 288, 427, 221 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 762, 288, 427, 221 i.e 1.
3. How can I use the GCD of 762, 288, 427, 221Calculator?
Out the numbers 762, 288, 427, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.