GCD of 448, 212, 970, 468 Calculator

Given Input numbers are 448, 212, 970, 468

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 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (448, 212, 970, 468) = 2.

Given numbers are 448, 212, 970, 468

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 212 are 2 x 2 x 53

Prime factors of 970 are 2 x 5 x 97

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 448, 212, 970, 468 is 2.

Given numbers are 448, 212, 970, 468

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

Apply this formula for all numbers.

Step1:

LCM(448, 212) = 23744

GCD(448, 212) = ( 448 x 212 ) / 23744

= 448 / 212

= 448

Step2:

LCM(4, 970) = 1940

GCD(4, 970) = ( 4 x 970 ) / 1940

= 4 / 970

= 4

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 448, 212, 970, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 912, 714, 570
• GCD of 833, 232, 429, 568
• GCD of 259, 750, 830, 109
• GCD of 229, 723, 943, 666
• GCD of 494, 838, 568, 212

Given numbers are 448, 212, 970, 468
The greatest common divisor of numbers 448, 212, 970, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 212, 970, 468 is 2.

1. What is the GCD of 448, 212, 970, 468?

GCD of given numbers 448, 212, 970, 468 is 2

2. How to calculate the greatest common divisor of 448, 212, 970, 468?

We can find the highest common divisor of 448, 212, 970, 468 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, 212, 970, 468 i.e 2.

3. How can I use the GCD of 448, 212, 970, 468Calculator?

Out the numbers 448, 212, 970, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.