GCD of 172, 892, 668, 160 Calculator

Given Input numbers are 172, 892, 668, 160

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

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

GCD of numbers is the greatest common divisor

So, the GCD (172, 892, 668, 160) = 4.

Given numbers are 172, 892, 668, 160

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 892 are 2 x 2 x 223

Prime factors of 668 are 2 x 2 x 167

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

The highest common occurrence is 2²

Therefore, GCD of 172, 892, 668, 160 is 4.

Given numbers are 172, 892, 668, 160

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

Apply this formula for all numbers.

Step1:

LCM(172, 892) = 38356

GCD(172, 892) = ( 172 x 892 ) / 38356

= 172 / 892

= 172

Step2:

LCM(4, 668) = 668

GCD(4, 668) = ( 4 x 668 ) / 668

= 4 / 668

= 4

Step3:

LCM(4, 160) = 160

GCD(4, 160) = ( 4 x 160 ) / 160

= 4 / 160

= 4

So, Greatest Common Divisor of 172, 892, 668, 160 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 449, 959, 644
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• GCD of 185, 843, 246, 109

Given numbers are 172, 892, 668, 160
The greatest common divisor of numbers 172, 892, 668, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 892, 668, 160 is 4.

1. What is the GCD of 172, 892, 668, 160?

GCD of given numbers 172, 892, 668, 160 is 4

2. How to calculate the greatest common divisor of 172, 892, 668, 160?

We can find the highest common divisor of 172, 892, 668, 160 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 172, 892, 668, 160 i.e 4.

3. How can I use the GCD of 172, 892, 668, 160Calculator?

Out the numbers 172, 892, 668, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.