GCD of 682, 452, 676, 448 Calculator

Given Input numbers are 682, 452, 676, 448

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (682, 452, 676, 448) = 2.

Given numbers are 682, 452, 676, 448

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 452 are 2 x 2 x 113

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

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 682, 452, 676, 448 is 2.

Given numbers are 682, 452, 676, 448

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

Apply this formula for all numbers.

Step1:

LCM(682, 452) = 154132

GCD(682, 452) = ( 682 x 452 ) / 154132

= 682 / 452

= 682

Step2:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 682, 452, 676, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 869, 842, 288
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• GCD of 863, 321, 398, 811
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• GCD of 651, 361, 244, 952

Given numbers are 682, 452, 676, 448
The greatest common divisor of numbers 682, 452, 676, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 452, 676, 448 is 2.

1. What is the GCD of 682, 452, 676, 448?

GCD of given numbers 682, 452, 676, 448 is 2

2. How to calculate the greatest common divisor of 682, 452, 676, 448?

We can find the highest common divisor of 682, 452, 676, 448 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 682, 452, 676, 448 i.e 2.

3. How can I use the GCD of 682, 452, 676, 448Calculator?

Out the numbers 682, 452, 676, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.