GCD of 898, 862, 350, 986 Calculator

Given Input numbers are 898, 862, 350, 986

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

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (898, 862, 350, 986) = 2.

Given numbers are 898, 862, 350, 986

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 862 are 2 x 431

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

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 898, 862, 350, 986 is 2.

Given numbers are 898, 862, 350, 986

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

Apply this formula for all numbers.

Step1:

LCM(898, 862) = 387038

GCD(898, 862) = ( 898 x 862 ) / 387038

= 898 / 862

= 898

Step2:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

Step3:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

So, Greatest Common Divisor of 898, 862, 350, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 599, 398, 408
• GCD of 370, 318, 689, 282
• GCD of 842, 950, 988, 376
• GCD of 242, 404, 985, 237
• GCD of 733, 596, 627, 521

Given numbers are 898, 862, 350, 986
The greatest common divisor of numbers 898, 862, 350, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 862, 350, 986 is 2.

1. What is the GCD of 898, 862, 350, 986?

GCD of given numbers 898, 862, 350, 986 is 2

2. How to calculate the greatest common divisor of 898, 862, 350, 986?

We can find the highest common divisor of 898, 862, 350, 986 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 898, 862, 350, 986 i.e 2.

3. How can I use the GCD of 898, 862, 350, 986Calculator?

Out the numbers 898, 862, 350, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.