GCD of 714, 156, 731, 338 Calculator

Given Input numbers are 714, 156, 731, 338

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 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

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 (714, 156, 731, 338) = 1.

Given numbers are 714, 156, 731, 338

The list of prime factors of all numbers are

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

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 731 are 17 x 43

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 714, 156, 731, 338

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

Apply this formula for all numbers.

Step1:

LCM(714, 156) = 18564

GCD(714, 156) = ( 714 x 156 ) / 18564

= 714 / 156

= 714

Step2:

LCM(6, 731) = 4386

GCD(6, 731) = ( 6 x 731 ) / 4386

= 6 / 731

= 6

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 714, 156, 731, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 208, 394, 680
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• GCD of 521, 914, 687, 454
• GCD of 806, 237, 326, 771
• GCD of 615, 899, 534, 166

Given numbers are 714, 156, 731, 338
The greatest common divisor of numbers 714, 156, 731, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 156, 731, 338 is 1.

1. What is the GCD of 714, 156, 731, 338?

GCD of given numbers 714, 156, 731, 338 is 1

2. How to calculate the greatest common divisor of 714, 156, 731, 338?

We can find the highest common divisor of 714, 156, 731, 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 714, 156, 731, 338 i.e 1.

3. How can I use the GCD of 714, 156, 731, 338Calculator?

Out the numbers 714, 156, 731, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.