GCD of 428, 138, 148, 924 Calculator

Given Input numbers are 428, 138, 148, 924

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (428, 138, 148, 924) = 2.

Given numbers are 428, 138, 148, 924

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 138 are 2 x 3 x 23

Prime factors of 148 are 2 x 2 x 37

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 428, 138, 148, 924 is 2.

Given numbers are 428, 138, 148, 924

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

Apply this formula for all numbers.

Step1:

LCM(428, 138) = 29532

GCD(428, 138) = ( 428 x 138 ) / 29532

= 428 / 138

= 428

Step2:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 428, 138, 148, 924 is 2

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• GCD of 474, 372, 703, 480
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Given numbers are 428, 138, 148, 924
The greatest common divisor of numbers 428, 138, 148, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 138, 148, 924 is 2.

1. What is the GCD of 428, 138, 148, 924?

GCD of given numbers 428, 138, 148, 924 is 2

2. How to calculate the greatest common divisor of 428, 138, 148, 924?

We can find the highest common divisor of 428, 138, 148, 924 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 428, 138, 148, 924 i.e 2.

3. How can I use the GCD of 428, 138, 148, 924Calculator?

Out the numbers 428, 138, 148, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.