GCD of 279, 429, 685, 746 Calculator

Given Input numbers are 279, 429, 685, 746

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (279, 429, 685, 746) = 1.

Given numbers are 279, 429, 685, 746

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

Prime factors of 429 are 3 x 11 x 13

Prime factors of 685 are 5 x 137

Prime factors of 746 are 2 x 373

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

Given numbers are 279, 429, 685, 746

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

Apply this formula for all numbers.

Step1:

LCM(279, 429) = 39897

GCD(279, 429) = ( 279 x 429 ) / 39897

= 279 / 429

= 279

Step2:

LCM(3, 685) = 2055

GCD(3, 685) = ( 3 x 685 ) / 2055

= 3 / 685

= 3

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 279, 429, 685, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 550, 607, 650
• GCD of 374, 834, 189, 417
• GCD of 200, 466, 112, 977
• GCD of 140, 363, 157, 785
• GCD of 505, 714, 767, 953

Given numbers are 279, 429, 685, 746
The greatest common divisor of numbers 279, 429, 685, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 429, 685, 746 is 1.

1. What is the GCD of 279, 429, 685, 746?

GCD of given numbers 279, 429, 685, 746 is 1

2. How to calculate the greatest common divisor of 279, 429, 685, 746?

We can find the highest common divisor of 279, 429, 685, 746 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 279, 429, 685, 746 i.e 1.

3. How can I use the GCD of 279, 429, 685, 746Calculator?

Out the numbers 279, 429, 685, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.