GCD of 418, 292, 704, 882 Calculator

Given Input numbers are 418, 292, 704, 882

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

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (418, 292, 704, 882) = 2.

Given numbers are 418, 292, 704, 882

The list of prime factors of all numbers are

Prime factors of 418 are 2 x 11 x 19

Prime factors of 292 are 2 x 2 x 73

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 418, 292, 704, 882 is 2.

Given numbers are 418, 292, 704, 882

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

Apply this formula for all numbers.

Step1:

LCM(418, 292) = 61028

GCD(418, 292) = ( 418 x 292 ) / 61028

= 418 / 292

= 418

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

So, Greatest Common Divisor of 418, 292, 704, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 135, 189, 803
• GCD of 629, 788, 777, 223
• GCD of 153, 880, 534, 526
• GCD of 404, 365, 452, 684
• GCD of 864, 325, 571, 584

Given numbers are 418, 292, 704, 882
The greatest common divisor of numbers 418, 292, 704, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 418, 292, 704, 882 is 2.

1. What is the GCD of 418, 292, 704, 882?

GCD of given numbers 418, 292, 704, 882 is 2

2. How to calculate the greatest common divisor of 418, 292, 704, 882?

We can find the highest common divisor of 418, 292, 704, 882 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 418, 292, 704, 882 i.e 2.

3. How can I use the GCD of 418, 292, 704, 882Calculator?

Out the numbers 418, 292, 704, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.