GCD of 108, 791, 698, 374 Calculator

Given Input numbers are 108, 791, 698, 374

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (108, 791, 698, 374) = 1.

Given numbers are 108, 791, 698, 374

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 791 are 7 x 113

Prime factors of 698 are 2 x 349

Prime factors of 374 are 2 x 11 x 17

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

Given numbers are 108, 791, 698, 374

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

Apply this formula for all numbers.

Step1:

LCM(108, 791) = 85428

GCD(108, 791) = ( 108 x 791 ) / 85428

= 108 / 791

= 108

Step2:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

Step3:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1

So, Greatest Common Divisor of 108, 791, 698, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 952, 230, 343
• GCD of 805, 494, 995, 862
• GCD of 137, 550, 763, 772
• GCD of 605, 437, 674, 694
• GCD of 823, 739, 652, 148

Given numbers are 108, 791, 698, 374
The greatest common divisor of numbers 108, 791, 698, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 791, 698, 374 is 1.

1. What is the GCD of 108, 791, 698, 374?

GCD of given numbers 108, 791, 698, 374 is 1

2. How to calculate the greatest common divisor of 108, 791, 698, 374?

We can find the highest common divisor of 108, 791, 698, 374 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 108, 791, 698, 374 i.e 1.

3. How can I use the GCD of 108, 791, 698, 374Calculator?

Out the numbers 108, 791, 698, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.