GCD of 172, 748, 88, 646 Calculator

Given Input numbers are 172, 748, 88, 646

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 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 88 :

The positive integer divisors of 88 that completely divides 88 are.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

GCD of numbers is the greatest common divisor

So, the GCD (172, 748, 88, 646) = 2.

Given numbers are 172, 748, 88, 646

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

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

Prime factors of 88 are 2 x 2 x 2 x 11

Prime factors of 646 are 2 x 17 x 19

The highest common occurrence is 2¹

Therefore, GCD of 172, 748, 88, 646 is 2.

Given numbers are 172, 748, 88, 646

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

Apply this formula for all numbers.

Step1:

LCM(172, 748) = 32164

GCD(172, 748) = ( 172 x 748 ) / 32164

= 172 / 748

= 172

Step2:

LCM(4, 88) = 88

GCD(4, 88) = ( 4 x 88 ) / 88

= 4 / 88

= 4

Step3:

LCM(4, 646) = 1292

GCD(4, 646) = ( 4 x 646 ) / 1292

= 4 / 646

= 4

So, Greatest Common Divisor of 172, 748, 88, 646 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 721, 64, 606
• GCD of 416, 873, 51, 337
• GCD of 486, 458, 39, 656
• GCD of 982, 379, 16, 630
• GCD of 461, 837, 80, 695

Given numbers are 172, 748, 88, 646
The greatest common divisor of numbers 172, 748, 88, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 748, 88, 646 is 2.

1. What is the GCD of 172, 748, 88, 646?

GCD of given numbers 172, 748, 88, 646 is 2

2. How to calculate the greatest common divisor of 172, 748, 88, 646?

We can find the highest common divisor of 172, 748, 88, 646 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, 748, 88, 646 i.e 2.

3. How can I use the GCD of 172, 748, 88, 646Calculator?

Out the numbers 172, 748, 88, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.