GCD of 164, 750, 698 Calculator

Given Input numbers are 164, 750, 698

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 698 :

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

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (164, 750, 698) = 2.

Given numbers are 164, 750, 698

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 164, 750, 698 is 2.

Given numbers are 164, 750, 698

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

Apply this formula for all numbers.

Step1:

LCM(164, 750) = 61500

GCD(164, 750) = ( 164 x 750 ) / 61500

= 164 / 750

= 164

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 164, 750, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 287, 876
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• GCD of 362, 442, 834
• GCD of 168, 376, 122
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Given numbers are 164, 750, 698
The greatest common divisor of numbers 164, 750, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 750, 698 is 2.

1. What is the GCD of 164, 750, 698?

GCD of given numbers 164, 750, 698 is 2

2. How to calculate the greatest common divisor of 164, 750, 698?

We can find the highest common divisor of 164, 750, 698 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 164, 750, 698 i.e 2.

3. How can I use the GCD of 164, 750, 698Calculator?

Out the numbers 164, 750, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.