GCD of 144, 826, 700, 788 Calculator

Given Input numbers are 144, 826, 700, 788

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

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 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (144, 826, 700, 788) = 2.

Given numbers are 144, 826, 700, 788

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 826 are 2 x 7 x 59

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

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 144, 826, 700, 788 is 2.

Given numbers are 144, 826, 700, 788

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

Apply this formula for all numbers.

Step1:

LCM(144, 826) = 59472

GCD(144, 826) = ( 144 x 826 ) / 59472

= 144 / 826

= 144

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

So, Greatest Common Divisor of 144, 826, 700, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 438, 737, 825
• GCD of 543, 834, 298, 906
• GCD of 554, 978, 697, 852
• GCD of 562, 726, 678, 936
• GCD of 948, 328, 328, 157

Given numbers are 144, 826, 700, 788
The greatest common divisor of numbers 144, 826, 700, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 826, 700, 788 is 2.

1. What is the GCD of 144, 826, 700, 788?

GCD of given numbers 144, 826, 700, 788 is 2

2. How to calculate the greatest common divisor of 144, 826, 700, 788?

We can find the highest common divisor of 144, 826, 700, 788 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 144, 826, 700, 788 i.e 2.

3. How can I use the GCD of 144, 826, 700, 788Calculator?

Out the numbers 144, 826, 700, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.