GCD of 694, 350, 749, 280 Calculator

Given Input numbers are 694, 350, 749, 280

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

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (694, 350, 749, 280) = 1.

Given numbers are 694, 350, 749, 280

The list of prime factors of all numbers are

Prime factors of 694 are 2 x 347

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 749 are 7 x 107

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Given numbers are 694, 350, 749, 280

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

Apply this formula for all numbers.

Step1:

LCM(694, 350) = 121450

GCD(694, 350) = ( 694 x 350 ) / 121450

= 694 / 350

= 694

Step2:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1

So, Greatest Common Divisor of 694, 350, 749, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 978, 672, 345
• GCD of 864, 208, 725, 399
• GCD of 602, 395, 856, 958
• GCD of 397, 204, 390, 122
• GCD of 266, 541, 165, 250

Given numbers are 694, 350, 749, 280
The greatest common divisor of numbers 694, 350, 749, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 694, 350, 749, 280 is 1.

1. What is the GCD of 694, 350, 749, 280?

GCD of given numbers 694, 350, 749, 280 is 1

2. How to calculate the greatest common divisor of 694, 350, 749, 280?

We can find the highest common divisor of 694, 350, 749, 280 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 694, 350, 749, 280 i.e 1.

3. How can I use the GCD of 694, 350, 749, 280Calculator?

Out the numbers 694, 350, 749, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.