GCD of 350, 414, 882, 989 Calculator

Given Input numbers are 350, 414, 882, 989

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (350, 414, 882, 989) = 1.

Given numbers are 350, 414, 882, 989

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 989 are 23 x 43

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

Given numbers are 350, 414, 882, 989

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

Apply this formula for all numbers.

Step1:

LCM(350, 414) = 72450

GCD(350, 414) = ( 350 x 414 ) / 72450

= 350 / 414

= 350

Step2:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

Step3:

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

= 2 / 989

= 2

So, Greatest Common Divisor of 350, 414, 882, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 728, 860, 418
• GCD of 839, 514, 217, 412
• GCD of 538, 455, 581, 580
• GCD of 382, 226, 995, 277
• GCD of 108, 694, 858, 522

Given numbers are 350, 414, 882, 989
The greatest common divisor of numbers 350, 414, 882, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 414, 882, 989 is 1.

1. What is the GCD of 350, 414, 882, 989?

GCD of given numbers 350, 414, 882, 989 is 1

2. How to calculate the greatest common divisor of 350, 414, 882, 989?

We can find the highest common divisor of 350, 414, 882, 989 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 350, 414, 882, 989 i.e 1.

3. How can I use the GCD of 350, 414, 882, 989Calculator?

Out the numbers 350, 414, 882, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.