GCD of 991, 450, 349, 402 Calculator

Given Input numbers are 991, 450, 349, 402

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

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 349 :

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

1, 349

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (991, 450, 349, 402) = 1.

Given numbers are 991, 450, 349, 402

The list of prime factors of all numbers are

Prime factors of 991 are 991

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 349 are 349

Prime factors of 402 are 2 x 3 x 67

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

Given numbers are 991, 450, 349, 402

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

Apply this formula for all numbers.

Step1:

LCM(991, 450) = 445950

GCD(991, 450) = ( 991 x 450 ) / 445950

= 991 / 450

= 991

Step2:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

So, Greatest Common Divisor of 991, 450, 349, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 745, 105, 414
• GCD of 735, 509, 464, 588
• GCD of 389, 989, 726, 384
• GCD of 649, 732, 693, 534
• GCD of 660, 791, 905, 118

Given numbers are 991, 450, 349, 402
The greatest common divisor of numbers 991, 450, 349, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 450, 349, 402 is 1.

1. What is the GCD of 991, 450, 349, 402?

GCD of given numbers 991, 450, 349, 402 is 1

2. How to calculate the greatest common divisor of 991, 450, 349, 402?

We can find the highest common divisor of 991, 450, 349, 402 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 991, 450, 349, 402 i.e 1.

3. How can I use the GCD of 991, 450, 349, 402Calculator?

Out the numbers 991, 450, 349, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.