GCD of 170, 196, 368, 748 Calculator

Given Input numbers are 170, 196, 368, 748

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

GCD of numbers is the greatest common divisor

So, the GCD (170, 196, 368, 748) = 2.

Given numbers are 170, 196, 368, 748

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 170, 196, 368, 748 is 2.

Given numbers are 170, 196, 368, 748

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

Apply this formula for all numbers.

Step1:

LCM(170, 196) = 16660

GCD(170, 196) = ( 170 x 196 ) / 16660

= 170 / 196

= 170

Step2:

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

= 2 / 368

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 170, 196, 368, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 590, 920, 750
• GCD of 656, 985, 314, 856
• GCD of 368, 927, 458, 578
• GCD of 140, 608, 537, 744
• GCD of 618, 185, 740, 801

Given numbers are 170, 196, 368, 748
The greatest common divisor of numbers 170, 196, 368, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 196, 368, 748 is 2.

1. What is the GCD of 170, 196, 368, 748?

GCD of given numbers 170, 196, 368, 748 is 2

2. How to calculate the greatest common divisor of 170, 196, 368, 748?

We can find the highest common divisor of 170, 196, 368, 748 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, 196, 368, 748 i.e 2.

3. How can I use the GCD of 170, 196, 368, 748Calculator?

Out the numbers 170, 196, 368, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.