GCD of 454, 976, 362, 264 Calculator

Given Input numbers are 454, 976, 362, 264

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

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (454, 976, 362, 264) = 2.

Given numbers are 454, 976, 362, 264

The list of prime factors of all numbers are

Prime factors of 454 are 2 x 227

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 362 are 2 x 181

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 454, 976, 362, 264 is 2.

Given numbers are 454, 976, 362, 264

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

Apply this formula for all numbers.

Step1:

LCM(454, 976) = 221552

GCD(454, 976) = ( 454 x 976 ) / 221552

= 454 / 976

= 454

Step2:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

So, Greatest Common Divisor of 454, 976, 362, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 356, 166, 688
• GCD of 520, 645, 485, 671
• GCD of 780, 995, 224, 634
• GCD of 870, 660, 979, 611
• GCD of 863, 342, 580, 662

Given numbers are 454, 976, 362, 264
The greatest common divisor of numbers 454, 976, 362, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 454, 976, 362, 264 is 2.

1. What is the GCD of 454, 976, 362, 264?

GCD of given numbers 454, 976, 362, 264 is 2

2. How to calculate the greatest common divisor of 454, 976, 362, 264?

We can find the highest common divisor of 454, 976, 362, 264 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 454, 976, 362, 264 i.e 2.

3. How can I use the GCD of 454, 976, 362, 264Calculator?

Out the numbers 454, 976, 362, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.