GCD of 464, 304, 160, 974 Calculator

Given Input numbers are 464, 304, 160, 974

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 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (464, 304, 160, 974) = 2.

Given numbers are 464, 304, 160, 974

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 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 464, 304, 160, 974 is 2.

Given numbers are 464, 304, 160, 974

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

Apply this formula for all numbers.

Step1:

LCM(464, 304) = 8816

GCD(464, 304) = ( 464 x 304 ) / 8816

= 464 / 304

= 464

Step2:

LCM(16, 160) = 160

GCD(16, 160) = ( 16 x 160 ) / 160

= 16 / 160

= 16

Step3:

LCM(16, 974) = 7792

GCD(16, 974) = ( 16 x 974 ) / 7792

= 16 / 974

= 16

So, Greatest Common Divisor of 464, 304, 160, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 751, 172, 548
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Given numbers are 464, 304, 160, 974
The greatest common divisor of numbers 464, 304, 160, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 304, 160, 974 is 2.

1. What is the GCD of 464, 304, 160, 974?

GCD of given numbers 464, 304, 160, 974 is 2

2. How to calculate the greatest common divisor of 464, 304, 160, 974?

We can find the highest common divisor of 464, 304, 160, 974 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, 304, 160, 974 i.e 2.

3. How can I use the GCD of 464, 304, 160, 974Calculator?

Out the numbers 464, 304, 160, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.