GCD of 172, 560, 988, 552 Calculator

Given Input numbers are 172, 560, 988, 552

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

GCD of numbers is the greatest common divisor

So, the GCD (172, 560, 988, 552) = 4.

Given numbers are 172, 560, 988, 552

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

The highest common occurrence is 2²

Therefore, GCD of 172, 560, 988, 552 is 4.

Given numbers are 172, 560, 988, 552

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

Apply this formula for all numbers.

Step1:

LCM(172, 560) = 24080

GCD(172, 560) = ( 172 x 560 ) / 24080

= 172 / 560

= 172

Step2:

LCM(4, 988) = 988

GCD(4, 988) = ( 4 x 988 ) / 988

= 4 / 988

= 4

Step3:

LCM(4, 552) = 552

GCD(4, 552) = ( 4 x 552 ) / 552

= 4 / 552

= 4

So, Greatest Common Divisor of 172, 560, 988, 552 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 700, 621, 753
• GCD of 862, 428, 322, 613
• GCD of 763, 179, 349, 766
• GCD of 430, 235, 320, 135
• GCD of 106, 897, 233, 836

Given numbers are 172, 560, 988, 552
The greatest common divisor of numbers 172, 560, 988, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 560, 988, 552 is 4.

1. What is the GCD of 172, 560, 988, 552?

GCD of given numbers 172, 560, 988, 552 is 4

2. How to calculate the greatest common divisor of 172, 560, 988, 552?

We can find the highest common divisor of 172, 560, 988, 552 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, 560, 988, 552 i.e 4.

3. How can I use the GCD of 172, 560, 988, 552Calculator?

Out the numbers 172, 560, 988, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.