GCD of 458, 626, 988, 448 Calculator

Given Input numbers are 458, 626, 988, 448

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

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 (458, 626, 988, 448) = 2.

Given numbers are 458, 626, 988, 448

The list of prime factors of all numbers are

Prime factors of 458 are 2 x 229

Prime factors of 626 are 2 x 313

Prime factors of 988 are 2 x 2 x 13 x 19

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 458, 626, 988, 448 is 2.

Given numbers are 458, 626, 988, 448

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

Apply this formula for all numbers.

Step1:

LCM(458, 626) = 143354

GCD(458, 626) = ( 458 x 626 ) / 143354

= 458 / 626

= 458

Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

Step3:

LCM(2, 448) = 448

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

= 2 / 448

= 2

So, Greatest Common Divisor of 458, 626, 988, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 540, 136, 108
• GCD of 520, 172, 479, 496
• GCD of 498, 307, 325, 612
• GCD of 705, 119, 597, 157
• GCD of 693, 140, 202, 420

Given numbers are 458, 626, 988, 448
The greatest common divisor of numbers 458, 626, 988, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 458, 626, 988, 448 is 2.

1. What is the GCD of 458, 626, 988, 448?

GCD of given numbers 458, 626, 988, 448 is 2

2. How to calculate the greatest common divisor of 458, 626, 988, 448?

We can find the highest common divisor of 458, 626, 988, 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 458, 626, 988, 448 i.e 2.

3. How can I use the GCD of 458, 626, 988, 448Calculator?

Out the numbers 458, 626, 988, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.