GCD of 742, 753, 416, 480 Calculator

Given Input numbers are 742, 753, 416, 480

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 (742, 753, 416, 480) = 1.

Given numbers are 742, 753, 416, 480

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 753 are 3 x 251

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

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 742, 753, 416, 480

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

Apply this formula for all numbers.

Step1:

LCM(742, 753) = 558726

GCD(742, 753) = ( 742 x 753 ) / 558726

= 742 / 753

= 742

Step2:

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

= 1 / 416

= 1

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 742, 753, 416, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 589, 114, 524
• GCD of 353, 294, 604, 918
• GCD of 574, 135, 181, 873
• GCD of 677, 726, 510, 204
• GCD of 672, 395, 108, 759

Given numbers are 742, 753, 416, 480
The greatest common divisor of numbers 742, 753, 416, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 753, 416, 480 is 1.

1. What is the GCD of 742, 753, 416, 480?

GCD of given numbers 742, 753, 416, 480 is 1

2. How to calculate the greatest common divisor of 742, 753, 416, 480?

We can find the highest common divisor of 742, 753, 416, 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 742, 753, 416, 480 i.e 1.

3. How can I use the GCD of 742, 753, 416, 480Calculator?

Out the numbers 742, 753, 416, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.