GCD of 742, 128, 166, 266 Calculator

Given Input numbers are 742, 128, 166, 266

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

Divisors of 742 :

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

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

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

GCD of numbers is the greatest common divisor

So, the GCD (742, 128, 166, 266) = 2.

Given numbers are 742, 128, 166, 266

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 166 are 2 x 83

Prime factors of 266 are 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 742, 128, 166, 266 is 2.

Given numbers are 742, 128, 166, 266

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

Apply this formula for all numbers.

Step1:

LCM(742, 128) = 47488

GCD(742, 128) = ( 742 x 128 ) / 47488

= 742 / 128

= 742

Step2:

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

= 2 / 166

= 2

Step3:

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

= 2 / 266

= 2

So, Greatest Common Divisor of 742, 128, 166, 266 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 408, 633, 474
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• GCD of 754, 385, 835, 885
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• GCD of 524, 440, 300, 104

Given numbers are 742, 128, 166, 266
The greatest common divisor of numbers 742, 128, 166, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 128, 166, 266 is 2.

1. What is the GCD of 742, 128, 166, 266?

GCD of given numbers 742, 128, 166, 266 is 2

2. How to calculate the greatest common divisor of 742, 128, 166, 266?

We can find the highest common divisor of 742, 128, 166, 266 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 742, 128, 166, 266 i.e 2.

3. How can I use the GCD of 742, 128, 166, 266Calculator?

Out the numbers 742, 128, 166, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.