GCD of 970, 300, 741, 749 Calculator

Given Input numbers are 970, 300, 741, 749

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

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 741 :

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

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

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 (970, 300, 741, 749) = 1.

Given numbers are 970, 300, 741, 749

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 741 are 3 x 13 x 19

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 970, 300, 741, 749

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

Apply this formula for all numbers.

Step1:

LCM(970, 300) = 29100

GCD(970, 300) = ( 970 x 300 ) / 29100

= 970 / 300

= 970

Step2:

LCM(10, 741) = 7410

GCD(10, 741) = ( 10 x 741 ) / 7410

= 10 / 741

= 10

Step3:

LCM(1, 749) = 749

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

= 1 / 749

= 1

So, Greatest Common Divisor of 970, 300, 741, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 153, 945, 561
• GCD of 571, 947, 307, 829
• GCD of 923, 634, 634, 609
• GCD of 616, 840, 355, 758
• GCD of 453, 813, 144, 861

Given numbers are 970, 300, 741, 749
The greatest common divisor of numbers 970, 300, 741, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 300, 741, 749 is 1.

1. What is the GCD of 970, 300, 741, 749?

GCD of given numbers 970, 300, 741, 749 is 1

2. How to calculate the greatest common divisor of 970, 300, 741, 749?

We can find the highest common divisor of 970, 300, 741, 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 970, 300, 741, 749 i.e 1.

3. How can I use the GCD of 970, 300, 741, 749Calculator?

Out the numbers 970, 300, 741, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.