GCD of 448, 462, 658, 378 Calculator

Given Input numbers are 448, 462, 658, 378

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (448, 462, 658, 378) = 14.

Given numbers are 448, 462, 658, 378

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 462 are 2 x 3 x 7 x 11

Prime factors of 658 are 2 x 7 x 47

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 448, 462, 658, 378 is 14.

Given numbers are 448, 462, 658, 378

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

Apply this formula for all numbers.

Step1:

LCM(448, 462) = 14784

GCD(448, 462) = ( 448 x 462 ) / 14784

= 448 / 462

= 448

Step2:

LCM(14, 658) = 658

GCD(14, 658) = ( 14 x 658 ) / 658

= 14 / 658

= 14

Step3:

LCM(14, 378) = 378

GCD(14, 378) = ( 14 x 378 ) / 378

= 14 / 378

= 14

So, Greatest Common Divisor of 448, 462, 658, 378 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 620, 153, 799
• GCD of 290, 714, 278, 614
• GCD of 121, 493, 113, 877
• GCD of 275, 729, 872, 941
• GCD of 956, 779, 246, 954

Given numbers are 448, 462, 658, 378
The greatest common divisor of numbers 448, 462, 658, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 462, 658, 378 is 14.

1. What is the GCD of 448, 462, 658, 378?

GCD of given numbers 448, 462, 658, 378 is 14

2. How to calculate the greatest common divisor of 448, 462, 658, 378?

We can find the highest common divisor of 448, 462, 658, 378 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, 462, 658, 378 i.e 14.

3. How can I use the GCD of 448, 462, 658, 378Calculator?

Out the numbers 448, 462, 658, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.