GCD of 654, 700, 738, 146 Calculator

Given Input numbers are 654, 700, 738, 146

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 654, 700, 738, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 700, 738, 146 is 2.

Therefore, GCD of numbers 654, 700, 738, 146 is 2

Given Input Data is 654, 700, 738, 146

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 146 is 2 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(654, 700) = 228900

GCD(654, 700) = ( 654 x 700 ) / 228900

GCD(654, 700) = 457800 / 228900

GCD(654, 700) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

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

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

GCD of 654, 700, 738, 146 is 2

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• GCD of 153, 862, 670, 838
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1. What is the GCD of 654, 700, 738, 146?

GCD of 654, 700, 738, 146 is 2

2. Where do I get the detailed procedure to find GCD of 654, 700, 738, 146?

You can find a detailed procedure to find GCD of 654, 700, 738, 146 on our page.

3. How to find GCD of 654, 700, 738, 146 on a calculator?

You can find the GCD of 654, 700, 738, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.