GCD of 895, 420, 160, 765 Calculator

Given Input numbers are 895, 420, 160, 765

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

Divisors of 895 :

The positive integer divisors of 895 that completely divides 895 are.

1, 5, 179, 895

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (895, 420, 160, 765) = 5.

Given numbers are 895, 420, 160, 765

The list of prime factors of all numbers are

Prime factors of 895 are 5 x 179

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Prime factors of 765 are 3 x 3 x 5 x 17

The highest common occurrence is 5¹

Therefore, GCD of 895, 420, 160, 765 is 5.

Given numbers are 895, 420, 160, 765

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

Apply this formula for all numbers.

Step1:

LCM(895, 420) = 75180

GCD(895, 420) = ( 895 x 420 ) / 75180

= 895 / 420

= 895

Step2:

LCM(5, 160) = 160

GCD(5, 160) = ( 5 x 160 ) / 160

= 5 / 160

= 5

Step3:

LCM(5, 765) = 765

GCD(5, 765) = ( 5 x 765 ) / 765

= 5 / 765

= 5

So, Greatest Common Divisor of 895, 420, 160, 765 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 316, 836, 116
• GCD of 969, 391, 283, 267
• GCD of 162, 700, 188, 888
• GCD of 692, 160, 367, 223
• GCD of 302, 574, 135, 280

Given numbers are 895, 420, 160, 765
The greatest common divisor of numbers 895, 420, 160, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 895, 420, 160, 765 is 5.

1. What is the GCD of 895, 420, 160, 765?

GCD of given numbers 895, 420, 160, 765 is 5

2. How to calculate the greatest common divisor of 895, 420, 160, 765?

We can find the highest common divisor of 895, 420, 160, 765 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 895, 420, 160, 765 i.e 5.

3. How can I use the GCD of 895, 420, 160, 765Calculator?

Out the numbers 895, 420, 160, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.