GCD of 348, 448, 628, 826 Calculator

Given Input numbers are 348, 448, 628, 826

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (348, 448, 628, 826) = 2.

Given numbers are 348, 448, 628, 826

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

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

Prime factors of 628 are 2 x 2 x 157

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 348, 448, 628, 826 is 2.

Given numbers are 348, 448, 628, 826

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

Apply this formula for all numbers.

Step1:

LCM(348, 448) = 38976

GCD(348, 448) = ( 348 x 448 ) / 38976

= 348 / 448

= 348

Step2:

LCM(4, 628) = 628

GCD(4, 628) = ( 4 x 628 ) / 628

= 4 / 628

= 4

Step3:

LCM(4, 826) = 1652

GCD(4, 826) = ( 4 x 826 ) / 1652

= 4 / 826

= 4

So, Greatest Common Divisor of 348, 448, 628, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 760, 812, 511
• GCD of 300, 624, 753, 573
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• GCD of 529, 332, 383, 414
• GCD of 530, 251, 229, 367

Given numbers are 348, 448, 628, 826
The greatest common divisor of numbers 348, 448, 628, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 448, 628, 826 is 2.

1. What is the GCD of 348, 448, 628, 826?

GCD of given numbers 348, 448, 628, 826 is 2

2. How to calculate the greatest common divisor of 348, 448, 628, 826?

We can find the highest common divisor of 348, 448, 628, 826 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 348, 448, 628, 826 i.e 2.

3. How can I use the GCD of 348, 448, 628, 826Calculator?

Out the numbers 348, 448, 628, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.