GCD of 349, 992, 820, 374 Calculator

Given Input numbers are 349, 992, 820, 374

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 (349, 992, 820, 374) = 1.

Given numbers are 349, 992, 820, 374

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 820 are 2 x 2 x 5 x 41

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 349, 992, 820, 374

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

Apply this formula for all numbers.

Step1:

LCM(349, 992) = 346208

GCD(349, 992) = ( 349 x 992 ) / 346208

= 349 / 992

= 349

Step2:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

Step3:

LCM(1, 374) = 374

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

= 1 / 374

= 1

So, Greatest Common Divisor of 349, 992, 820, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 244, 567, 323
• GCD of 287, 266, 827, 148
• GCD of 106, 809, 418, 734
• GCD of 909, 265, 111, 500
• GCD of 915, 145, 811, 604

Given numbers are 349, 992, 820, 374
The greatest common divisor of numbers 349, 992, 820, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 992, 820, 374 is 1.

1. What is the GCD of 349, 992, 820, 374?

GCD of given numbers 349, 992, 820, 374 is 1

2. How to calculate the greatest common divisor of 349, 992, 820, 374?

We can find the highest common divisor of 349, 992, 820, 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 349, 992, 820, 374 i.e 1.

3. How can I use the GCD of 349, 992, 820, 374Calculator?

Out the numbers 349, 992, 820, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.