GCD of 314, 703, 374, 438 Calculator

Given Input numbers are 314, 703, 374, 438

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (314, 703, 374, 438) = 1.

Given numbers are 314, 703, 374, 438

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 703 are 19 x 37

Prime factors of 374 are 2 x 11 x 17

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 314, 703, 374, 438

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

Apply this formula for all numbers.

Step1:

LCM(314, 703) = 220742

GCD(314, 703) = ( 314 x 703 ) / 220742

= 314 / 703

= 314

Step2:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 314, 703, 374, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 713, 756, 342
• GCD of 598, 363, 381, 155
• GCD of 371, 943, 755, 431
• GCD of 947, 501, 965, 355
• GCD of 762, 937, 642, 197

Given numbers are 314, 703, 374, 438
The greatest common divisor of numbers 314, 703, 374, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 703, 374, 438 is 1.

1. What is the GCD of 314, 703, 374, 438?

GCD of given numbers 314, 703, 374, 438 is 1

2. How to calculate the greatest common divisor of 314, 703, 374, 438?

We can find the highest common divisor of 314, 703, 374, 438 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 314, 703, 374, 438 i.e 1.

3. How can I use the GCD of 314, 703, 374, 438Calculator?

Out the numbers 314, 703, 374, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.