GCD of 714, 696, 138, 932 Calculator

Given Input numbers are 714, 696, 138, 932

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 138 :

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

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

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

GCD of numbers is the greatest common divisor

So, the GCD (714, 696, 138, 932) = 2.

Given numbers are 714, 696, 138, 932

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 138 are 2 x 3 x 23

Prime factors of 932 are 2 x 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 714, 696, 138, 932 is 2.

Given numbers are 714, 696, 138, 932

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

Apply this formula for all numbers.

Step1:

LCM(714, 696) = 82824

GCD(714, 696) = ( 714 x 696 ) / 82824

= 714 / 696

= 714

Step2:

LCM(6, 138) = 138

GCD(6, 138) = ( 6 x 138 ) / 138

= 6 / 138

= 6

Step3:

LCM(6, 932) = 2796

GCD(6, 932) = ( 6 x 932 ) / 2796

= 6 / 932

= 6

So, Greatest Common Divisor of 714, 696, 138, 932 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 395, 215, 452
• GCD of 268, 386, 216, 792
• GCD of 983, 791, 953, 216
• GCD of 315, 213, 339, 465
• GCD of 926, 693, 489, 103

Given numbers are 714, 696, 138, 932
The greatest common divisor of numbers 714, 696, 138, 932 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 696, 138, 932 is 2.

1. What is the GCD of 714, 696, 138, 932?

GCD of given numbers 714, 696, 138, 932 is 2

2. How to calculate the greatest common divisor of 714, 696, 138, 932?

We can find the highest common divisor of 714, 696, 138, 932 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 714, 696, 138, 932 i.e 2.

3. How can I use the GCD of 714, 696, 138, 932Calculator?

Out the numbers 714, 696, 138, 932 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.