GCD of 746, 765, 918, 961 Calculator

Given Input numbers are 746, 765, 918, 961

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (746, 765, 918, 961) = 1.

Given numbers are 746, 765, 918, 961

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 961 are 31 x 31

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

Given numbers are 746, 765, 918, 961

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

Apply this formula for all numbers.

Step1:

LCM(746, 765) = 570690

GCD(746, 765) = ( 746 x 765 ) / 570690

= 746 / 765

= 746

Step2:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 746, 765, 918, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 443, 428, 854
• GCD of 151, 297, 402, 402
• GCD of 798, 473, 940, 105
• GCD of 992, 884, 968, 454
• GCD of 866, 852, 788, 861

Given numbers are 746, 765, 918, 961
The greatest common divisor of numbers 746, 765, 918, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 765, 918, 961 is 1.

1. What is the GCD of 746, 765, 918, 961?

GCD of given numbers 746, 765, 918, 961 is 1

2. How to calculate the greatest common divisor of 746, 765, 918, 961?

We can find the highest common divisor of 746, 765, 918, 961 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 746, 765, 918, 961 i.e 1.

3. How can I use the GCD of 746, 765, 918, 961Calculator?

Out the numbers 746, 765, 918, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.