GCD of 285, 760, 55, 315 Calculator

Given Input numbers are 285, 760, 55, 315

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

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

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 55 :

The positive integer divisors of 55 that completely divides 55 are.

1, 5, 11, 55

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (285, 760, 55, 315) = 5.

Given numbers are 285, 760, 55, 315

The list of prime factors of all numbers are

Prime factors of 285 are 3 x 5 x 19

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

Prime factors of 55 are 5 x 11

Prime factors of 315 are 3 x 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 285, 760, 55, 315 is 5.

Given numbers are 285, 760, 55, 315

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

Apply this formula for all numbers.

Step1:

LCM(285, 760) = 2280

GCD(285, 760) = ( 285 x 760 ) / 2280

= 285 / 760

= 285

Step2:

LCM(95, 55) = 1045

GCD(95, 55) = ( 95 x 55 ) / 1045

= 95 / 55

= 95

Step3:

LCM(5, 315) = 315

GCD(5, 315) = ( 5 x 315 ) / 315

= 5 / 315

= 5

So, Greatest Common Divisor of 285, 760, 55, 315 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 838, 10, 771
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• GCD of 606, 400, 30, 367
• GCD of 783, 304, 49, 892

Given numbers are 285, 760, 55, 315
The greatest common divisor of numbers 285, 760, 55, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 760, 55, 315 is 5.

1. What is the GCD of 285, 760, 55, 315?

GCD of given numbers 285, 760, 55, 315 is 5

2. How to calculate the greatest common divisor of 285, 760, 55, 315?

We can find the highest common divisor of 285, 760, 55, 315 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 285, 760, 55, 315 i.e 5.

3. How can I use the GCD of 285, 760, 55, 315Calculator?

Out the numbers 285, 760, 55, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.