Online GCD Calculator is useful to find the GCD of 500, 534, 480, 762 quickly. Get the easiest ways to solve the greatest common divisor of 500, 534, 480, 762 i.e 2 in different methods as follows.
Given Input numbers are 500, 534, 480, 762
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
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
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
GCD of numbers is the greatest common divisor
So, the GCD (500, 534, 480, 762) = 2.
Given numbers are 500, 534, 480, 762
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 534 are 2 x 3 x 89
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 762 are 2 x 3 x 127
The highest common occurrence is 21
Therefore, GCD of 500, 534, 480, 762 is 2.
Given numbers are 500, 534, 480, 762
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 534) = 133500
GCD(500, 534) = ( 500 x 534 ) / 133500
= 500 / 534
= 500
Step2:
LCM(2, 480) = 480
GCD(2, 480) = ( 2 x 480 ) / 480
= 2 / 480
= 2
Step3:
LCM(2, 762) = 762
GCD(2, 762) = ( 2 x 762 ) / 762
= 2 / 762
= 2
So, Greatest Common Divisor of 500, 534, 480, 762 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 534, 480, 762
The greatest common divisor of numbers 500, 534, 480, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 534, 480, 762 is 2.
1. What is the GCD of 500, 534, 480, 762?
GCD of given numbers 500, 534, 480, 762 is 2
2. How to calculate the greatest common divisor of 500, 534, 480, 762?
We can find the highest common divisor of 500, 534, 480, 762 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 500, 534, 480, 762 i.e 2.
3. How can I use the GCD of 500, 534, 480, 762Calculator?
Out the numbers 500, 534, 480, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.