GCD of 175, 420, 684, 960 Calculator

Given Input numbers are 175, 420, 684, 960

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 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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

GCD of numbers is the greatest common divisor

So, the GCD (175, 420, 684, 960) = 1.

Given numbers are 175, 420, 684, 960

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

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

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 175, 420, 684, 960

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

Apply this formula for all numbers.

Step1:

LCM(175, 420) = 2100

GCD(175, 420) = ( 175 x 420 ) / 2100

= 175 / 420

= 175

Step2:

LCM(35, 684) = 23940

GCD(35, 684) = ( 35 x 684 ) / 23940

= 35 / 684

= 35

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 175, 420, 684, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 895, 133, 297
• GCD of 481, 728, 830, 573
• GCD of 128, 936, 423, 507
• GCD of 675, 165, 594, 784
• GCD of 540, 723, 449, 880

Given numbers are 175, 420, 684, 960
The greatest common divisor of numbers 175, 420, 684, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 420, 684, 960 is 1.

1. What is the GCD of 175, 420, 684, 960?

GCD of given numbers 175, 420, 684, 960 is 1

2. How to calculate the greatest common divisor of 175, 420, 684, 960?

We can find the highest common divisor of 175, 420, 684, 960 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, 420, 684, 960 i.e 1.

3. How can I use the GCD of 175, 420, 684, 960Calculator?

Out the numbers 175, 420, 684, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.