GCD of 480, 464, 402, 760 Calculator

Given Input numbers are 480, 464, 402, 760

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (480, 464, 402, 760) = 2.

Given numbers are 480, 464, 402, 760

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 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 402 are 2 x 3 x 67

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 480, 464, 402, 760 is 2.

Given numbers are 480, 464, 402, 760

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

Apply this formula for all numbers.

Step1:

LCM(480, 464) = 13920

GCD(480, 464) = ( 480 x 464 ) / 13920

= 480 / 464

= 480

Step2:

LCM(16, 402) = 3216

GCD(16, 402) = ( 16 x 402 ) / 3216

= 16 / 402

= 16

Step3:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

So, Greatest Common Divisor of 480, 464, 402, 760 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 880, 589, 684
• GCD of 397, 321, 806, 822
• GCD of 357, 736, 633, 302
• GCD of 571, 534, 665, 866
• GCD of 836, 864, 102, 799

Given numbers are 480, 464, 402, 760
The greatest common divisor of numbers 480, 464, 402, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 464, 402, 760 is 2.

1. What is the GCD of 480, 464, 402, 760?

GCD of given numbers 480, 464, 402, 760 is 2

2. How to calculate the greatest common divisor of 480, 464, 402, 760?

We can find the highest common divisor of 480, 464, 402, 760 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, 464, 402, 760 i.e 2.

3. How can I use the GCD of 480, 464, 402, 760Calculator?

Out the numbers 480, 464, 402, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.