GCD of 646, 742, 136, 274 Calculator

Given Input numbers are 646, 742, 136, 274

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (646, 742, 136, 274) = 2.

Given numbers are 646, 742, 136, 274

The list of prime factors of all numbers are

Prime factors of 646 are 2 x 17 x 19

Prime factors of 742 are 2 x 7 x 53

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 646, 742, 136, 274 is 2.

Given numbers are 646, 742, 136, 274

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

Apply this formula for all numbers.

Step1:

LCM(646, 742) = 239666

GCD(646, 742) = ( 646 x 742 ) / 239666

= 646 / 742

= 646

Step2:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

Step3:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

So, Greatest Common Divisor of 646, 742, 136, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 839, 624, 437
• GCD of 108, 862, 874, 738
• GCD of 543, 129, 157, 534
• GCD of 674, 998, 609, 151
• GCD of 375, 255, 861, 370

Given numbers are 646, 742, 136, 274
The greatest common divisor of numbers 646, 742, 136, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 646, 742, 136, 274 is 2.

1. What is the GCD of 646, 742, 136, 274?

GCD of given numbers 646, 742, 136, 274 is 2

2. How to calculate the greatest common divisor of 646, 742, 136, 274?

We can find the highest common divisor of 646, 742, 136, 274 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, 742, 136, 274 i.e 2.

3. How can I use the GCD of 646, 742, 136, 274Calculator?

Out the numbers 646, 742, 136, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.