GCD of 960, 702, 153, 195 Calculator

Given Input numbers are 960, 702, 153, 195

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

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

GCD of numbers is the greatest common divisor

So, the GCD (960, 702, 153, 195) = 3.

Given numbers are 960, 702, 153, 195

The list of prime factors of all numbers are

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 153 are 3 x 3 x 17

Prime factors of 195 are 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 960, 702, 153, 195 is 3.

Given numbers are 960, 702, 153, 195

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

Apply this formula for all numbers.

Step1:

LCM(960, 702) = 112320

GCD(960, 702) = ( 960 x 702 ) / 112320

= 960 / 702

= 960

Step2:

LCM(6, 153) = 306

GCD(6, 153) = ( 6 x 153 ) / 306

= 6 / 153

= 6

Step3:

LCM(3, 195) = 195

GCD(3, 195) = ( 3 x 195 ) / 195

= 3 / 195

= 3

So, Greatest Common Divisor of 960, 702, 153, 195 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 802, 981, 136, 861
• GCD of 919, 963, 840, 351
• GCD of 547, 116, 871, 264
• GCD of 665, 830, 835, 726
• GCD of 539, 129, 902, 770

Given numbers are 960, 702, 153, 195
The greatest common divisor of numbers 960, 702, 153, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 702, 153, 195 is 3.

1. What is the GCD of 960, 702, 153, 195?

GCD of given numbers 960, 702, 153, 195 is 3

2. How to calculate the greatest common divisor of 960, 702, 153, 195?

We can find the highest common divisor of 960, 702, 153, 195 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 960, 702, 153, 195 i.e 3.

3. How can I use the GCD of 960, 702, 153, 195Calculator?

Out the numbers 960, 702, 153, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.