GCD of 448, 382, 140, 826 Calculator

Given Input numbers are 448, 382, 140, 826

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

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 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 (448, 382, 140, 826) = 2.

Given numbers are 448, 382, 140, 826

The list of prime factors of all numbers are

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

Prime factors of 382 are 2 x 191

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 448, 382, 140, 826 is 2.

Given numbers are 448, 382, 140, 826

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

Apply this formula for all numbers.

Step1:

LCM(448, 382) = 85568

GCD(448, 382) = ( 448 x 382 ) / 85568

= 448 / 382

= 448

Step2:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 448, 382, 140, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 786, 746, 433
• GCD of 442, 784, 688, 517
• GCD of 119, 666, 887, 754
• GCD of 246, 182, 942, 230
• GCD of 128, 590, 546, 677

Given numbers are 448, 382, 140, 826
The greatest common divisor of numbers 448, 382, 140, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 382, 140, 826 is 2.

1. What is the GCD of 448, 382, 140, 826?

GCD of given numbers 448, 382, 140, 826 is 2

2. How to calculate the greatest common divisor of 448, 382, 140, 826?

We can find the highest common divisor of 448, 382, 140, 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 448, 382, 140, 826 i.e 2.

3. How can I use the GCD of 448, 382, 140, 826Calculator?

Out the numbers 448, 382, 140, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.