GCD of 234, 686, 940, 698 Calculator

Given Input numbers are 234, 686, 940, 698

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 (234, 686, 940, 698) = 2.

Given numbers are 234, 686, 940, 698

The list of prime factors of all numbers are

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

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 234, 686, 940, 698 is 2.

Given numbers are 234, 686, 940, 698

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

Apply this formula for all numbers.

Step1:

LCM(234, 686) = 80262

GCD(234, 686) = ( 234 x 686 ) / 80262

= 234 / 686

= 234

Step2:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

Step3:

LCM(2, 698) = 698

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

= 2 / 698

= 2

So, Greatest Common Divisor of 234, 686, 940, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 410, 790, 293
• GCD of 347, 575, 667, 145
• GCD of 576, 468, 784, 597
• GCD of 814, 438, 530, 662
• GCD of 339, 212, 932, 923

Given numbers are 234, 686, 940, 698
The greatest common divisor of numbers 234, 686, 940, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 686, 940, 698 is 2.

1. What is the GCD of 234, 686, 940, 698?

GCD of given numbers 234, 686, 940, 698 is 2

2. How to calculate the greatest common divisor of 234, 686, 940, 698?

We can find the highest common divisor of 234, 686, 940, 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 234, 686, 940, 698 i.e 2.

3. How can I use the GCD of 234, 686, 940, 698Calculator?

Out the numbers 234, 686, 940, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.