GCD of 749, 274, 314, 704 Calculator

Given Input numbers are 749, 274, 314, 704

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 314 :

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

1, 2, 157, 314

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

GCD of numbers is the greatest common divisor

So, the GCD (749, 274, 314, 704) = 1.

Given numbers are 749, 274, 314, 704

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 274 are 2 x 137

Prime factors of 314 are 2 x 157

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

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

Given numbers are 749, 274, 314, 704

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

Apply this formula for all numbers.

Step1:

LCM(749, 274) = 205226

GCD(749, 274) = ( 749 x 274 ) / 205226

= 749 / 274

= 749

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 749, 274, 314, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 418, 635, 178
• GCD of 956, 584, 575, 410
• GCD of 864, 462, 827, 840
• GCD of 758, 141, 548, 814
• GCD of 684, 878, 859, 247

Given numbers are 749, 274, 314, 704
The greatest common divisor of numbers 749, 274, 314, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 274, 314, 704 is 1.

1. What is the GCD of 749, 274, 314, 704?

GCD of given numbers 749, 274, 314, 704 is 1

2. How to calculate the greatest common divisor of 749, 274, 314, 704?

We can find the highest common divisor of 749, 274, 314, 704 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 749, 274, 314, 704 i.e 1.

3. How can I use the GCD of 749, 274, 314, 704Calculator?

Out the numbers 749, 274, 314, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.