GCD of 302, 860, 760, 689 Calculator

Given Input numbers are 302, 860, 760, 689

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 (302, 860, 760, 689) = 1.

Given numbers are 302, 860, 760, 689

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 689 are 13 x 53

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

Given numbers are 302, 860, 760, 689

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

Apply this formula for all numbers.

Step1:

LCM(302, 860) = 129860

GCD(302, 860) = ( 302 x 860 ) / 129860

= 302 / 860

= 302

Step2:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 302, 860, 760, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 913, 907, 693
• GCD of 990, 121, 673, 350
• GCD of 375, 438, 948, 226
• GCD of 238, 600, 144, 257
• GCD of 170, 286, 790, 751

Given numbers are 302, 860, 760, 689
The greatest common divisor of numbers 302, 860, 760, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 860, 760, 689 is 1.

1. What is the GCD of 302, 860, 760, 689?

GCD of given numbers 302, 860, 760, 689 is 1

2. How to calculate the greatest common divisor of 302, 860, 760, 689?

We can find the highest common divisor of 302, 860, 760, 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 302, 860, 760, 689 i.e 1.

3. How can I use the GCD of 302, 860, 760, 689Calculator?

Out the numbers 302, 860, 760, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.