GCD of 234, 648, 650, 986 Calculator

Given Input numbers are 234, 648, 650, 986

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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 (234, 648, 650, 986) = 2.

Given numbers are 234, 648, 650, 986

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 234, 648, 650, 986 is 2.

Given numbers are 234, 648, 650, 986

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

Apply this formula for all numbers.

Step1:

LCM(234, 648) = 8424

GCD(234, 648) = ( 234 x 648 ) / 8424

= 234 / 648

= 234

Step2:

LCM(18, 650) = 5850

GCD(18, 650) = ( 18 x 650 ) / 5850

= 18 / 650

= 18

Step3:

LCM(2, 986) = 986

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

= 2 / 986

= 2

So, Greatest Common Divisor of 234, 648, 650, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 177, 963, 938
• GCD of 798, 750, 123, 334
• GCD of 681, 871, 846, 499
• GCD of 888, 489, 118, 666
• GCD of 597, 163, 805, 991

Given numbers are 234, 648, 650, 986
The greatest common divisor of numbers 234, 648, 650, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 648, 650, 986 is 2.

1. What is the GCD of 234, 648, 650, 986?

GCD of given numbers 234, 648, 650, 986 is 2

2. How to calculate the greatest common divisor of 234, 648, 650, 986?

We can find the highest common divisor of 234, 648, 650, 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 234, 648, 650, 986 i.e 2.

3. How can I use the GCD of 234, 648, 650, 986Calculator?

Out the numbers 234, 648, 650, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.