GCD of 175, 400, 960, 200 Calculator

Given Input numbers are 175, 400, 960, 200

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (175, 400, 960, 200) = 5.

Given numbers are 175, 400, 960, 200

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 175, 400, 960, 200 is 5.

Given numbers are 175, 400, 960, 200

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

Apply this formula for all numbers.

Step1:

LCM(175, 400) = 2800

GCD(175, 400) = ( 175 x 400 ) / 2800

= 175 / 400

= 175

Step2:

LCM(25, 960) = 4800

GCD(25, 960) = ( 25 x 960 ) / 4800

= 25 / 960

= 25

Step3:

LCM(5, 200) = 200

GCD(5, 200) = ( 5 x 200 ) / 200

= 5 / 200

= 5

So, Greatest Common Divisor of 175, 400, 960, 200 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 218, 290, 556
• GCD of 694, 486, 641, 739
• GCD of 711, 171, 572, 983
• GCD of 769, 619, 350, 904
• GCD of 395, 799, 702, 786

Given numbers are 175, 400, 960, 200
The greatest common divisor of numbers 175, 400, 960, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 400, 960, 200 is 5.

1. What is the GCD of 175, 400, 960, 200?

GCD of given numbers 175, 400, 960, 200 is 5

2. How to calculate the greatest common divisor of 175, 400, 960, 200?

We can find the highest common divisor of 175, 400, 960, 200 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 175, 400, 960, 200 i.e 5.

3. How can I use the GCD of 175, 400, 960, 200Calculator?

Out the numbers 175, 400, 960, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.