GCD of 480, 714, 638, 146 Calculator

Given Input numbers are 480, 714, 638, 146

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (480, 714, 638, 146) = 2.

Given numbers are 480, 714, 638, 146

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 638 are 2 x 11 x 29

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 480, 714, 638, 146 is 2.

Given numbers are 480, 714, 638, 146

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

Apply this formula for all numbers.

Step1:

LCM(480, 714) = 57120

GCD(480, 714) = ( 480 x 714 ) / 57120

= 480 / 714

= 480

Step2:

LCM(6, 638) = 1914

GCD(6, 638) = ( 6 x 638 ) / 1914

= 6 / 638

= 6

Step3:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

So, Greatest Common Divisor of 480, 714, 638, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 310, 662, 534
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• GCD of 861, 932, 837, 426
• GCD of 547, 468, 343, 229
• GCD of 693, 922, 833, 310

Given numbers are 480, 714, 638, 146
The greatest common divisor of numbers 480, 714, 638, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 714, 638, 146 is 2.

1. What is the GCD of 480, 714, 638, 146?

GCD of given numbers 480, 714, 638, 146 is 2

2. How to calculate the greatest common divisor of 480, 714, 638, 146?

We can find the highest common divisor of 480, 714, 638, 146 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 480, 714, 638, 146 i.e 2.

3. How can I use the GCD of 480, 714, 638, 146Calculator?

Out the numbers 480, 714, 638, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.