GCD of 126, 474, 160, 174 Calculator

Given Input numbers are 126, 474, 160, 174

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (126, 474, 160, 174) = 2.

Given numbers are 126, 474, 160, 174

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 474 are 2 x 3 x 79

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 126, 474, 160, 174 is 2.

Given numbers are 126, 474, 160, 174

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

Apply this formula for all numbers.

Step1:

LCM(126, 474) = 9954

GCD(126, 474) = ( 126 x 474 ) / 9954

= 126 / 474

= 126

Step2:

LCM(6, 160) = 480

GCD(6, 160) = ( 6 x 160 ) / 480

= 6 / 160

= 6

Step3:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

So, Greatest Common Divisor of 126, 474, 160, 174 is 2

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• GCD of 870, 395, 803, 651
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Given numbers are 126, 474, 160, 174
The greatest common divisor of numbers 126, 474, 160, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 474, 160, 174 is 2.

1. What is the GCD of 126, 474, 160, 174?

GCD of given numbers 126, 474, 160, 174 is 2

2. How to calculate the greatest common divisor of 126, 474, 160, 174?

We can find the highest common divisor of 126, 474, 160, 174 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 126, 474, 160, 174 i.e 2.

3. How can I use the GCD of 126, 474, 160, 174Calculator?

Out the numbers 126, 474, 160, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.