GCD of 152, 688, 536, 172 Calculator

Given Input numbers are 152, 688, 536, 172

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (152, 688, 536, 172) = 4.

Given numbers are 152, 688, 536, 172

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 152, 688, 536, 172 is 4.

Given numbers are 152, 688, 536, 172

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

Apply this formula for all numbers.

Step1:

LCM(152, 688) = 13072

GCD(152, 688) = ( 152 x 688 ) / 13072

= 152 / 688

= 152

Step2:

LCM(8, 536) = 536

GCD(8, 536) = ( 8 x 536 ) / 536

= 8 / 536

= 8

Step3:

LCM(8, 172) = 344

GCD(8, 172) = ( 8 x 172 ) / 344

= 8 / 172

= 8

So, Greatest Common Divisor of 152, 688, 536, 172 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 464, 223, 144
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• GCD of 859, 621, 219, 255
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• GCD of 458, 229, 327, 106

Given numbers are 152, 688, 536, 172
The greatest common divisor of numbers 152, 688, 536, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 688, 536, 172 is 4.

1. What is the GCD of 152, 688, 536, 172?

GCD of given numbers 152, 688, 536, 172 is 4

2. How to calculate the greatest common divisor of 152, 688, 536, 172?

We can find the highest common divisor of 152, 688, 536, 172 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 152, 688, 536, 172 i.e 4.

3. How can I use the GCD of 152, 688, 536, 172Calculator?

Out the numbers 152, 688, 536, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.