GCD of 760, 738, 810, 677 Calculator

Given Input numbers are 760, 738, 810, 677

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

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

GCD of numbers is the greatest common divisor

So, the GCD (760, 738, 810, 677) = 1.

Given numbers are 760, 738, 810, 677

The list of prime factors of all numbers are

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

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 677 are 677

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

Given numbers are 760, 738, 810, 677

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

Apply this formula for all numbers.

Step1:

LCM(760, 738) = 280440

GCD(760, 738) = ( 760 x 738 ) / 280440

= 760 / 738

= 760

Step2:

LCM(2, 810) = 810

GCD(2, 810) = ( 2 x 810 ) / 810

= 2 / 810

= 2

Step3:

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

= 2 / 677

= 2

So, Greatest Common Divisor of 760, 738, 810, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 815, 275, 618
• GCD of 561, 868, 470, 634
• GCD of 114, 663, 860, 869
• GCD of 357, 312, 850, 929
• GCD of 773, 232, 675, 543

Given numbers are 760, 738, 810, 677
The greatest common divisor of numbers 760, 738, 810, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 738, 810, 677 is 1.

1. What is the GCD of 760, 738, 810, 677?

GCD of given numbers 760, 738, 810, 677 is 1

2. How to calculate the greatest common divisor of 760, 738, 810, 677?

We can find the highest common divisor of 760, 738, 810, 677 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 760, 738, 810, 677 i.e 1.

3. How can I use the GCD of 760, 738, 810, 677Calculator?

Out the numbers 760, 738, 810, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.