GCD of 309, 588, 749, 702 Calculator

Given Input numbers are 309, 588, 749, 702

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (309, 588, 749, 702) = 1.

Given numbers are 309, 588, 749, 702

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 749 are 7 x 107

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Given numbers are 309, 588, 749, 702

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

Apply this formula for all numbers.

Step1:

LCM(309, 588) = 60564

GCD(309, 588) = ( 309 x 588 ) / 60564

= 309 / 588

= 309

Step2:

LCM(3, 749) = 2247

GCD(3, 749) = ( 3 x 749 ) / 2247

= 3 / 749

= 3

Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1

So, Greatest Common Divisor of 309, 588, 749, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 748, 474, 393
• GCD of 130, 393, 997, 148
• GCD of 780, 550, 844, 668
• GCD of 871, 779, 425, 508
• GCD of 147, 914, 490, 351

Given numbers are 309, 588, 749, 702
The greatest common divisor of numbers 309, 588, 749, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 588, 749, 702 is 1.

1. What is the GCD of 309, 588, 749, 702?

GCD of given numbers 309, 588, 749, 702 is 1

2. How to calculate the greatest common divisor of 309, 588, 749, 702?

We can find the highest common divisor of 309, 588, 749, 702 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 309, 588, 749, 702 i.e 1.

3. How can I use the GCD of 309, 588, 749, 702Calculator?

Out the numbers 309, 588, 749, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.