GCD of 676, 584, 932, 226 Calculator

Given Input numbers are 676, 584, 932, 226

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

GCD of numbers is the greatest common divisor

So, the GCD (676, 584, 932, 226) = 2.

Given numbers are 676, 584, 932, 226

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 932 are 2 x 2 x 233

Prime factors of 226 are 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 676, 584, 932, 226 is 2.

Given numbers are 676, 584, 932, 226

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

Apply this formula for all numbers.

Step1:

LCM(676, 584) = 98696

GCD(676, 584) = ( 676 x 584 ) / 98696

= 676 / 584

= 676

Step2:

LCM(4, 932) = 932

GCD(4, 932) = ( 4 x 932 ) / 932

= 4 / 932

= 4

Step3:

LCM(4, 226) = 452

GCD(4, 226) = ( 4 x 226 ) / 452

= 4 / 226

= 4

So, Greatest Common Divisor of 676, 584, 932, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 249, 500, 667
• GCD of 295, 615, 483, 136
• GCD of 437, 638, 385, 803
• GCD of 950, 980, 296, 683
• GCD of 992, 633, 719, 696

Given numbers are 676, 584, 932, 226
The greatest common divisor of numbers 676, 584, 932, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 584, 932, 226 is 2.

1. What is the GCD of 676, 584, 932, 226?

GCD of given numbers 676, 584, 932, 226 is 2

2. How to calculate the greatest common divisor of 676, 584, 932, 226?

We can find the highest common divisor of 676, 584, 932, 226 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 676, 584, 932, 226 i.e 2.

3. How can I use the GCD of 676, 584, 932, 226Calculator?

Out the numbers 676, 584, 932, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.