GCD of 464, 800, 676, 460 Calculator

Given Input numbers are 464, 800, 676, 460

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

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (464, 800, 676, 460) = 4.

Given numbers are 464, 800, 676, 460

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2²

Therefore, GCD of 464, 800, 676, 460 is 4.

Given numbers are 464, 800, 676, 460

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

Apply this formula for all numbers.

Step1:

LCM(464, 800) = 23200

GCD(464, 800) = ( 464 x 800 ) / 23200

= 464 / 800

= 464

Step2:

LCM(16, 676) = 2704

GCD(16, 676) = ( 16 x 676 ) / 2704

= 16 / 676

= 16

Step3:

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

= 4 / 460

= 4

So, Greatest Common Divisor of 464, 800, 676, 460 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 606, 945, 534
• GCD of 108, 587, 193, 986
• GCD of 302, 499, 943, 443
• GCD of 941, 737, 892, 977
• GCD of 488, 562, 729, 120

Given numbers are 464, 800, 676, 460
The greatest common divisor of numbers 464, 800, 676, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 800, 676, 460 is 4.

1. What is the GCD of 464, 800, 676, 460?

GCD of given numbers 464, 800, 676, 460 is 4

2. How to calculate the greatest common divisor of 464, 800, 676, 460?

We can find the highest common divisor of 464, 800, 676, 460 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 464, 800, 676, 460 i.e 4.

3. How can I use the GCD of 464, 800, 676, 460Calculator?

Out the numbers 464, 800, 676, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.