GCD of 646, 748, 34 Calculator

Given Input numbers are 646, 748, 34

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

Divisors of 646 :

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

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

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 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

GCD of numbers is the greatest common divisor

So, the GCD (646, 748, 34) = 34.

Given numbers are 646, 748, 34

The list of prime factors of all numbers are

Prime factors of 646 are 2 x 17 x 19

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

Prime factors of 34 are 2 x 17

The highest common occurrence is 17¹ x 2¹

Therefore, GCD of 646, 748, 34 is 34.

Given numbers are 646, 748, 34

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

Apply this formula for all numbers.

Step1:

LCM(646, 748) = 14212

GCD(646, 748) = ( 646 x 748 ) / 14212

= 646 / 748

= 646

Step2:

LCM(34, 34) = 34

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

= 34 / 34

= 34

So, Greatest Common Divisor of 646, 748, 34 is 34

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 601, 29
• GCD of 138, 307, 32
• GCD of 628, 834, 26
• GCD of 650, 830, 10
• GCD of 257, 890, 13

Given numbers are 646, 748, 34
The greatest common divisor of numbers 646, 748, 34 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 646, 748, 34 is 34.

1. What is the GCD of 646, 748, 34?

GCD of given numbers 646, 748, 34 is 34

2. How to calculate the greatest common divisor of 646, 748, 34?

We can find the highest common divisor of 646, 748, 34 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 646, 748, 34 i.e 34.

3. How can I use the GCD of 646, 748, 34Calculator?

Out the numbers 646, 748, 34 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.