GCD of 474, 760, 360, 853 Calculator

Given Input numbers are 474, 760, 360, 853

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

Divisors of 474 :

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

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853

GCD of numbers is the greatest common divisor

So, the GCD (474, 760, 360, 853) = 1.

Given numbers are 474, 760, 360, 853

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 853 are 853

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 474, 760, 360, 853

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

Apply this formula for all numbers.

Step1:

LCM(474, 760) = 180120

GCD(474, 760) = ( 474 x 760 ) / 180120

= 474 / 760

= 474

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

= 2 / 853

= 2

So, Greatest Common Divisor of 474, 760, 360, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 819, 839, 460
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Given numbers are 474, 760, 360, 853
The greatest common divisor of numbers 474, 760, 360, 853 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 760, 360, 853 is 1.

1. What is the GCD of 474, 760, 360, 853?

GCD of given numbers 474, 760, 360, 853 is 1

2. How to calculate the greatest common divisor of 474, 760, 360, 853?

We can find the highest common divisor of 474, 760, 360, 853 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 474, 760, 360, 853 i.e 1.

3. How can I use the GCD of 474, 760, 360, 853Calculator?

Out the numbers 474, 760, 360, 853 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.