GCD of 698, 762, 406, 242 Calculator

Given Input numbers are 698, 762, 406, 242

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (698, 762, 406, 242) = 2.

Given numbers are 698, 762, 406, 242

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 762 are 2 x 3 x 127

Prime factors of 406 are 2 x 7 x 29

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 698, 762, 406, 242 is 2.

Given numbers are 698, 762, 406, 242

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

Apply this formula for all numbers.

Step1:

LCM(698, 762) = 265938

GCD(698, 762) = ( 698 x 762 ) / 265938

= 698 / 762

= 698

Step2:

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

= 2 / 406

= 2

Step3:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

So, Greatest Common Divisor of 698, 762, 406, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 205, 730, 344
• GCD of 338, 469, 157, 592
• GCD of 369, 538, 878, 896
• GCD of 265, 680, 312, 972
• GCD of 400, 258, 141, 903

Given numbers are 698, 762, 406, 242
The greatest common divisor of numbers 698, 762, 406, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 762, 406, 242 is 2.

1. What is the GCD of 698, 762, 406, 242?

GCD of given numbers 698, 762, 406, 242 is 2

2. How to calculate the greatest common divisor of 698, 762, 406, 242?

We can find the highest common divisor of 698, 762, 406, 242 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 698, 762, 406, 242 i.e 2.

3. How can I use the GCD of 698, 762, 406, 242Calculator?

Out the numbers 698, 762, 406, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.