GCD of 376, 292, 420, 832 Calculator

Given Input numbers are 376, 292, 420, 832

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

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

GCD of numbers is the greatest common divisor

So, the GCD (376, 292, 420, 832) = 4.

Given numbers are 376, 292, 420, 832

The list of prime factors of all numbers are

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 292 are 2 x 2 x 73

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2²

Therefore, GCD of 376, 292, 420, 832 is 4.

Given numbers are 376, 292, 420, 832

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

Apply this formula for all numbers.

Step1:

LCM(376, 292) = 27448

GCD(376, 292) = ( 376 x 292 ) / 27448

= 376 / 292

= 376

Step2:

LCM(4, 420) = 420

GCD(4, 420) = ( 4 x 420 ) / 420

= 4 / 420

= 4

Step3:

LCM(4, 832) = 832

GCD(4, 832) = ( 4 x 832 ) / 832

= 4 / 832

= 4

So, Greatest Common Divisor of 376, 292, 420, 832 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 788, 212, 738
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• GCD of 878, 743, 656, 728

Given numbers are 376, 292, 420, 832
The greatest common divisor of numbers 376, 292, 420, 832 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 292, 420, 832 is 4.

1. What is the GCD of 376, 292, 420, 832?

GCD of given numbers 376, 292, 420, 832 is 4

2. How to calculate the greatest common divisor of 376, 292, 420, 832?

We can find the highest common divisor of 376, 292, 420, 832 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 376, 292, 420, 832 i.e 4.

3. How can I use the GCD of 376, 292, 420, 832Calculator?

Out the numbers 376, 292, 420, 832 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.