Online GCD Calculator is useful to find the GCD of 762, 238, 721, 480 quickly. Get the easiest ways to solve the greatest common divisor of 762, 238, 721, 480 i.e 1 in different methods as follows.
Given Input numbers are 762, 238, 721, 480
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 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (762, 238, 721, 480) = 1.
Given numbers are 762, 238, 721, 480
The list of prime factors of all numbers are
Prime factors of 762 are 2 x 3 x 127
Prime factors of 238 are 2 x 7 x 17
Prime factors of 721 are 7 x 103
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 762, 238, 721, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(762, 238) = 90678
GCD(762, 238) = ( 762 x 238 ) / 90678
= 762 / 238
= 762
Step2:
LCM(2, 721) = 1442
GCD(2, 721) = ( 2 x 721 ) / 1442
= 2 / 721
= 2
Step3:
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
= 1 / 480
= 1
So, Greatest Common Divisor of 762, 238, 721, 480 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 762, 238, 721, 480
The greatest common divisor of numbers 762, 238, 721, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 238, 721, 480 is 1.
1. What is the GCD of 762, 238, 721, 480?
GCD of given numbers 762, 238, 721, 480 is 1
2. How to calculate the greatest common divisor of 762, 238, 721, 480?
We can find the highest common divisor of 762, 238, 721, 480 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, 238, 721, 480 i.e 1.
3. How can I use the GCD of 762, 238, 721, 480Calculator?
Out the numbers 762, 238, 721, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.