GCD of 170, 748, 526, 824 Calculator

Given Input numbers are 170, 748, 526, 824

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (170, 748, 526, 824) = 2.

Given numbers are 170, 748, 526, 824

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 526 are 2 x 263

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 170, 748, 526, 824 is 2.

Given numbers are 170, 748, 526, 824

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

Apply this formula for all numbers.

Step1:

LCM(170, 748) = 3740

GCD(170, 748) = ( 170 x 748 ) / 3740

= 170 / 748

= 170

Step2:

LCM(34, 526) = 8942

GCD(34, 526) = ( 34 x 526 ) / 8942

= 34 / 526

= 34

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 170, 748, 526, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 827, 157, 892
• GCD of 533, 912, 925, 876
• GCD of 149, 667, 966, 175
• GCD of 606, 603, 467, 185
• GCD of 868, 512, 343, 333

Given numbers are 170, 748, 526, 824
The greatest common divisor of numbers 170, 748, 526, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 748, 526, 824 is 2.

1. What is the GCD of 170, 748, 526, 824?

GCD of given numbers 170, 748, 526, 824 is 2

2. How to calculate the greatest common divisor of 170, 748, 526, 824?

We can find the highest common divisor of 170, 748, 526, 824 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 170, 748, 526, 824 i.e 2.

3. How can I use the GCD of 170, 748, 526, 824Calculator?

Out the numbers 170, 748, 526, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.