GCD of 936, 698, 974 Calculator

Given Input numbers are 936, 698, 974

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (936, 698, 974) = 2.

Given numbers are 936, 698, 974

The list of prime factors of all numbers are

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 698 are 2 x 349

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 936, 698, 974 is 2.

Given numbers are 936, 698, 974

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

Apply this formula for all numbers.

Step1:

LCM(936, 698) = 326664

GCD(936, 698) = ( 936 x 698 ) / 326664

= 936 / 698

= 936

Step2:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 936, 698, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 965, 307
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Given numbers are 936, 698, 974
The greatest common divisor of numbers 936, 698, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 698, 974 is 2.

1. What is the GCD of 936, 698, 974?

GCD of given numbers 936, 698, 974 is 2

2. How to calculate the greatest common divisor of 936, 698, 974?

We can find the highest common divisor of 936, 698, 974 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 936, 698, 974 i.e 2.

3. How can I use the GCD of 936, 698, 974Calculator?

Out the numbers 936, 698, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.