GCD of 480, 308, 535, 743 Calculator

Given Input numbers are 480, 308, 535, 743

In the factoring method, we have to find the divisors of all numbers

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (480, 308, 535, 743) = 1.

Given numbers are 480, 308, 535, 743

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 535 are 5 x 107

Prime factors of 743 are 743

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 480, 308, 535, 743

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(480, 308) = 36960

GCD(480, 308) = ( 480 x 308 ) / 36960

= 480 / 308

= 480

Step2:

LCM(4, 535) = 2140

GCD(4, 535) = ( 4 x 535 ) / 2140

= 4 / 535

= 4

Step3:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1

So, Greatest Common Divisor of 480, 308, 535, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 158, 277, 943
• GCD of 409, 392, 143, 428
• GCD of 253, 484, 218, 347
• GCD of 911, 785, 198, 524
• GCD of 356, 142, 206, 259

Given numbers are 480, 308, 535, 743
The greatest common divisor of numbers 480, 308, 535, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 308, 535, 743 is 1.

1. What is the GCD of 480, 308, 535, 743?

GCD of given numbers 480, 308, 535, 743 is 1

2. How to calculate the greatest common divisor of 480, 308, 535, 743?

We can find the highest common divisor of 480, 308, 535, 743 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 480, 308, 535, 743 i.e 1.

3. How can I use the GCD of 480, 308, 535, 743Calculator?

Out the numbers 480, 308, 535, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.