GCD of 909, 628, 980, 749 Calculator

Given Input numbers are 909, 628, 980, 749

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 749 :

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

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (909, 628, 980, 749) = 1.

Given numbers are 909, 628, 980, 749

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 628 are 2 x 2 x 157

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 749 are 7 x 107

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

Given numbers are 909, 628, 980, 749

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

Apply this formula for all numbers.

Step1:

LCM(909, 628) = 570852

GCD(909, 628) = ( 909 x 628 ) / 570852

= 909 / 628

= 909

Step2:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 909, 628, 980, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 273, 245, 184
• GCD of 773, 906, 665, 943
• GCD of 730, 815, 608, 436
• GCD of 699, 838, 716, 106
• GCD of 773, 313, 145, 690

Given numbers are 909, 628, 980, 749
The greatest common divisor of numbers 909, 628, 980, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 628, 980, 749 is 1.

1. What is the GCD of 909, 628, 980, 749?

GCD of given numbers 909, 628, 980, 749 is 1

2. How to calculate the greatest common divisor of 909, 628, 980, 749?

We can find the highest common divisor of 909, 628, 980, 749 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 909, 628, 980, 749 i.e 1.

3. How can I use the GCD of 909, 628, 980, 749Calculator?

Out the numbers 909, 628, 980, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.