GCD of 428, 306, 704, 137 Calculator

Given Input numbers are 428, 306, 704, 137

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

GCD of numbers is the greatest common divisor

So, the GCD (428, 306, 704, 137) = 1.

Given numbers are 428, 306, 704, 137

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 137 are 137

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 428, 306, 704, 137

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

Apply this formula for all numbers.

Step1:

LCM(428, 306) = 65484

GCD(428, 306) = ( 428 x 306 ) / 65484

= 428 / 306

= 428

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

= 2 / 137

= 2

So, Greatest Common Divisor of 428, 306, 704, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 604, 157, 158
• GCD of 449, 546, 161, 436
• GCD of 316, 402, 252, 923
• GCD of 468, 535, 930, 757
• GCD of 794, 941, 503, 153

Given numbers are 428, 306, 704, 137
The greatest common divisor of numbers 428, 306, 704, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 306, 704, 137 is 1.

1. What is the GCD of 428, 306, 704, 137?

GCD of given numbers 428, 306, 704, 137 is 1

2. How to calculate the greatest common divisor of 428, 306, 704, 137?

We can find the highest common divisor of 428, 306, 704, 137 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 428, 306, 704, 137 i.e 1.

3. How can I use the GCD of 428, 306, 704, 137Calculator?

Out the numbers 428, 306, 704, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.