GCD of 712, 138, 364, 338 Calculator

Given Input numbers are 712, 138, 364, 338

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (712, 138, 364, 338) = 2.

Given numbers are 712, 138, 364, 338

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 138 are 2 x 3 x 23

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 712, 138, 364, 338 is 2.

Given numbers are 712, 138, 364, 338

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

Apply this formula for all numbers.

Step1:

LCM(712, 138) = 49128

GCD(712, 138) = ( 712 x 138 ) / 49128

= 712 / 138

= 712

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 712, 138, 364, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 519, 392, 382
• GCD of 418, 945, 407, 743
• GCD of 781, 353, 423, 118
• GCD of 494, 738, 666, 912
• GCD of 546, 639, 935, 537

Given numbers are 712, 138, 364, 338
The greatest common divisor of numbers 712, 138, 364, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 138, 364, 338 is 2.

1. What is the GCD of 712, 138, 364, 338?

GCD of given numbers 712, 138, 364, 338 is 2

2. How to calculate the greatest common divisor of 712, 138, 364, 338?

We can find the highest common divisor of 712, 138, 364, 338 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 712, 138, 364, 338 i.e 2.

3. How can I use the GCD of 712, 138, 364, 338Calculator?

Out the numbers 712, 138, 364, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.