GCD of 737, 689, 704, 742 Calculator

Given Input numbers are 737, 689, 704, 742

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

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (737, 689, 704, 742) = 1.

Given numbers are 737, 689, 704, 742

The list of prime factors of all numbers are

Prime factors of 737 are 11 x 67

Prime factors of 689 are 13 x 53

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 737, 689, 704, 742

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

Apply this formula for all numbers.

Step1:

LCM(737, 689) = 507793

GCD(737, 689) = ( 737 x 689 ) / 507793

= 737 / 689

= 737

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 737, 689, 704, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 395, 943, 639
• GCD of 797, 882, 856, 777
• GCD of 474, 613, 473, 529
• GCD of 631, 288, 393, 856
• GCD of 121, 216, 985, 668

Given numbers are 737, 689, 704, 742
The greatest common divisor of numbers 737, 689, 704, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 737, 689, 704, 742 is 1.

1. What is the GCD of 737, 689, 704, 742?

GCD of given numbers 737, 689, 704, 742 is 1

2. How to calculate the greatest common divisor of 737, 689, 704, 742?

We can find the highest common divisor of 737, 689, 704, 742 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 737, 689, 704, 742 i.e 1.

3. How can I use the GCD of 737, 689, 704, 742Calculator?

Out the numbers 737, 689, 704, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.