GCD of 470, 878, 838, 448 Calculator

Given Input numbers are 470, 878, 838, 448

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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 (470, 878, 838, 448) = 2.

Given numbers are 470, 878, 838, 448

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 878 are 2 x 439

Prime factors of 838 are 2 x 419

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 470, 878, 838, 448 is 2.

Given numbers are 470, 878, 838, 448

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

Apply this formula for all numbers.

Step1:

LCM(470, 878) = 206330

GCD(470, 878) = ( 470 x 878 ) / 206330

= 470 / 878

= 470

Step2:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

Step3:

LCM(2, 448) = 448

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

= 2 / 448

= 2

So, Greatest Common Divisor of 470, 878, 838, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 968, 931, 142
• GCD of 583, 627, 345, 319
• GCD of 370, 173, 445, 241
• GCD of 124, 421, 197, 202
• GCD of 880, 958, 728, 168

Given numbers are 470, 878, 838, 448
The greatest common divisor of numbers 470, 878, 838, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 878, 838, 448 is 2.

1. What is the GCD of 470, 878, 838, 448?

GCD of given numbers 470, 878, 838, 448 is 2

2. How to calculate the greatest common divisor of 470, 878, 838, 448?

We can find the highest common divisor of 470, 878, 838, 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 470, 878, 838, 448 i.e 2.

3. How can I use the GCD of 470, 878, 838, 448Calculator?

Out the numbers 470, 878, 838, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.