GCD of 464, 492, 724, 734 Calculator

Given Input numbers are 464, 492, 724, 734

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (464, 492, 724, 734) = 2.

Given numbers are 464, 492, 724, 734

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 492 are 2 x 2 x 3 x 41

Prime factors of 724 are 2 x 2 x 181

Prime factors of 734 are 2 x 367

The highest common occurrence is 2¹

Therefore, GCD of 464, 492, 724, 734 is 2.

Given numbers are 464, 492, 724, 734

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

Apply this formula for all numbers.

Step1:

LCM(464, 492) = 57072

GCD(464, 492) = ( 464 x 492 ) / 57072

= 464 / 492

= 464

Step2:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

Step3:

LCM(4, 734) = 1468

GCD(4, 734) = ( 4 x 734 ) / 1468

= 4 / 734

= 4

So, Greatest Common Divisor of 464, 492, 724, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 787, 857, 149
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Given numbers are 464, 492, 724, 734
The greatest common divisor of numbers 464, 492, 724, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 492, 724, 734 is 2.

1. What is the GCD of 464, 492, 724, 734?

GCD of given numbers 464, 492, 724, 734 is 2

2. How to calculate the greatest common divisor of 464, 492, 724, 734?

We can find the highest common divisor of 464, 492, 724, 734 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, 492, 724, 734 i.e 2.

3. How can I use the GCD of 464, 492, 724, 734Calculator?

Out the numbers 464, 492, 724, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.