GCD of 720, 676, 738, 769 Calculator

Given Input numbers are 720, 676, 738, 769

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

GCD of numbers is the greatest common divisor

So, the GCD (720, 676, 738, 769) = 1.

Given numbers are 720, 676, 738, 769

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 676 are 2 x 2 x 13 x 13

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

Prime factors of 769 are 769

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

Given numbers are 720, 676, 738, 769

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

Apply this formula for all numbers.

Step1:

LCM(720, 676) = 121680

GCD(720, 676) = ( 720 x 676 ) / 121680

= 720 / 676

= 720

Step2:

LCM(4, 738) = 1476

GCD(4, 738) = ( 4 x 738 ) / 1476

= 4 / 738

= 4

Step3:

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

= 2 / 769

= 2

So, Greatest Common Divisor of 720, 676, 738, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 978, 330, 656
• GCD of 453, 921, 379, 595
• GCD of 376, 652, 766, 743
• GCD of 921, 285, 517, 899
• GCD of 310, 853, 876, 368

Given numbers are 720, 676, 738, 769
The greatest common divisor of numbers 720, 676, 738, 769 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 676, 738, 769 is 1.

1. What is the GCD of 720, 676, 738, 769?

GCD of given numbers 720, 676, 738, 769 is 1

2. How to calculate the greatest common divisor of 720, 676, 738, 769?

We can find the highest common divisor of 720, 676, 738, 769 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 720, 676, 738, 769 i.e 1.

3. How can I use the GCD of 720, 676, 738, 769Calculator?

Out the numbers 720, 676, 738, 769 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.