GCD of 938, 180, 697, 734 Calculator

Given Input numbers are 938, 180, 697, 734

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (938, 180, 697, 734) = 1.

Given numbers are 938, 180, 697, 734

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 697 are 17 x 41

Prime factors of 734 are 2 x 367

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

Given numbers are 938, 180, 697, 734

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

Apply this formula for all numbers.

Step1:

LCM(938, 180) = 84420

GCD(938, 180) = ( 938 x 180 ) / 84420

= 938 / 180

= 938

Step2:

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

= 2 / 697

= 2

Step3:

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

= 1 / 734

= 1

So, Greatest Common Divisor of 938, 180, 697, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 748, 114, 104
• GCD of 260, 361, 628, 652
• GCD of 558, 719, 217, 550
• GCD of 616, 548, 195, 881
• GCD of 121, 592, 668, 753

Given numbers are 938, 180, 697, 734
The greatest common divisor of numbers 938, 180, 697, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 180, 697, 734 is 1.

1. What is the GCD of 938, 180, 697, 734?

GCD of given numbers 938, 180, 697, 734 is 1

2. How to calculate the greatest common divisor of 938, 180, 697, 734?

We can find the highest common divisor of 938, 180, 697, 734 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 938, 180, 697, 734 i.e 1.

3. How can I use the GCD of 938, 180, 697, 734Calculator?

Out the numbers 938, 180, 697, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.