GCD of 360, 278, 476, 840 Calculator

Given Input numbers are 360, 278, 476, 840

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

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 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (360, 278, 476, 840) = 2.

Given numbers are 360, 278, 476, 840

The list of prime factors of all numbers are

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

Prime factors of 278 are 2 x 139

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 360, 278, 476, 840 is 2.

Given numbers are 360, 278, 476, 840

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

Apply this formula for all numbers.

Step1:

LCM(360, 278) = 50040

GCD(360, 278) = ( 360 x 278 ) / 50040

= 360 / 278

= 360

Step2:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

Step3:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

So, Greatest Common Divisor of 360, 278, 476, 840 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 274, 191, 777
• GCD of 560, 491, 306, 733
• GCD of 785, 873, 752, 844
• GCD of 480, 163, 219, 464
• GCD of 982, 868, 312, 705

Given numbers are 360, 278, 476, 840
The greatest common divisor of numbers 360, 278, 476, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 278, 476, 840 is 2.

1. What is the GCD of 360, 278, 476, 840?

GCD of given numbers 360, 278, 476, 840 is 2

2. How to calculate the greatest common divisor of 360, 278, 476, 840?

We can find the highest common divisor of 360, 278, 476, 840 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 360, 278, 476, 840 i.e 2.

3. How can I use the GCD of 360, 278, 476, 840Calculator?

Out the numbers 360, 278, 476, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.