GCD of 496, 896, 731, 167 Calculator

Given Input numbers are 496, 896, 731, 167

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167

GCD of numbers is the greatest common divisor

So, the GCD (496, 896, 731, 167) = 1.

Given numbers are 496, 896, 731, 167

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 731 are 17 x 43

Prime factors of 167 are 167

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 496, 896, 731, 167

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

Apply this formula for all numbers.

Step1:

LCM(496, 896) = 27776

GCD(496, 896) = ( 496 x 896 ) / 27776

= 496 / 896

= 496

Step2:

LCM(16, 731) = 11696

GCD(16, 731) = ( 16 x 731 ) / 11696

= 16 / 731

= 16

Step3:

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

= 1 / 167

= 1

So, Greatest Common Divisor of 496, 896, 731, 167 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 349, 760, 782
• GCD of 247, 431, 264, 777
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Given numbers are 496, 896, 731, 167
The greatest common divisor of numbers 496, 896, 731, 167 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 896, 731, 167 is 1.

1. What is the GCD of 496, 896, 731, 167?

GCD of given numbers 496, 896, 731, 167 is 1

2. How to calculate the greatest common divisor of 496, 896, 731, 167?

We can find the highest common divisor of 496, 896, 731, 167 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 496, 896, 731, 167 i.e 1.

3. How can I use the GCD of 496, 896, 731, 167Calculator?

Out the numbers 496, 896, 731, 167 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.