GCD of 741, 702, 689 Calculator

Given Input numbers are 741, 702, 689

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (741, 702, 689) = 13.

Given numbers are 741, 702, 689

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

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

Prime factors of 689 are 13 x 53

The highest common occurrence is 13¹

Therefore, GCD of 741, 702, 689 is 13.

Given numbers are 741, 702, 689

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

Apply this formula for all numbers.

Step1:

LCM(741, 702) = 13338

GCD(741, 702) = ( 741 x 702 ) / 13338

= 741 / 702

= 741

Step2:

LCM(39, 689) = 2067

GCD(39, 689) = ( 39 x 689 ) / 2067

= 39 / 689

= 39

So, Greatest Common Divisor of 741, 702, 689 is 13

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 300, 457
• GCD of 408, 696, 573
• GCD of 734, 261, 426
• GCD of 710, 357, 320
• GCD of 174, 979, 343

Given numbers are 741, 702, 689
The greatest common divisor of numbers 741, 702, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 702, 689 is 13.

1. What is the GCD of 741, 702, 689?

GCD of given numbers 741, 702, 689 is 13

2. How to calculate the greatest common divisor of 741, 702, 689?

We can find the highest common divisor of 741, 702, 689 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 741, 702, 689 i.e 13.

3. How can I use the GCD of 741, 702, 689Calculator?

Out the numbers 741, 702, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.