GCD of 925, 870, 395, 315 Calculator

Given Input numbers are 925, 870, 395, 315

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

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

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 (925, 870, 395, 315) = 5.

Given numbers are 925, 870, 395, 315

The list of prime factors of all numbers are

Prime factors of 925 are 5 x 5 x 37

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 395 are 5 x 79

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

The highest common occurrence is 5¹

Therefore, GCD of 925, 870, 395, 315 is 5.

Given numbers are 925, 870, 395, 315

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

Apply this formula for all numbers.

Step1:

LCM(925, 870) = 160950

GCD(925, 870) = ( 925 x 870 ) / 160950

= 925 / 870

= 925

Step2:

LCM(5, 395) = 395

GCD(5, 395) = ( 5 x 395 ) / 395

= 5 / 395

= 5

Step3:

LCM(5, 315) = 315

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

= 5 / 315

= 5

So, Greatest Common Divisor of 925, 870, 395, 315 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 378, 199, 376
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• GCD of 493, 472, 666, 305
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• GCD of 380, 640, 438, 433

Given numbers are 925, 870, 395, 315
The greatest common divisor of numbers 925, 870, 395, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 925, 870, 395, 315 is 5.

1. What is the GCD of 925, 870, 395, 315?

GCD of given numbers 925, 870, 395, 315 is 5

2. How to calculate the greatest common divisor of 925, 870, 395, 315?

We can find the highest common divisor of 925, 870, 395, 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 925, 870, 395, 315 i.e 5.

3. How can I use the GCD of 925, 870, 395, 315Calculator?

Out the numbers 925, 870, 395, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.