GCD of 700, 238, 960, 106 Calculator

Given Input numbers are 700, 238, 960, 106

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

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 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (700, 238, 960, 106) = 2.

Given numbers are 700, 238, 960, 106

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 238 are 2 x 7 x 17

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

Prime factors of 106 are 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 700, 238, 960, 106 is 2.

Given numbers are 700, 238, 960, 106

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

Apply this formula for all numbers.

Step1:

LCM(700, 238) = 11900

GCD(700, 238) = ( 700 x 238 ) / 11900

= 700 / 238

= 700

Step2:

LCM(14, 960) = 6720

GCD(14, 960) = ( 14 x 960 ) / 6720

= 14 / 960

= 14

Step3:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

So, Greatest Common Divisor of 700, 238, 960, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 750, 274, 761
• GCD of 435, 745, 149, 281
• GCD of 626, 951, 980, 972
• GCD of 274, 284, 227, 177
• GCD of 546, 473, 762, 222

Given numbers are 700, 238, 960, 106
The greatest common divisor of numbers 700, 238, 960, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 238, 960, 106 is 2.

1. What is the GCD of 700, 238, 960, 106?

GCD of given numbers 700, 238, 960, 106 is 2

2. How to calculate the greatest common divisor of 700, 238, 960, 106?

We can find the highest common divisor of 700, 238, 960, 106 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 700, 238, 960, 106 i.e 2.

3. How can I use the GCD of 700, 238, 960, 106Calculator?

Out the numbers 700, 238, 960, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.