GCD of 749, 735, 973, 144 Calculator

Given Input numbers are 749, 735, 973, 144

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

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

GCD of numbers is the greatest common divisor

So, the GCD (749, 735, 973, 144) = 1.

Given numbers are 749, 735, 973, 144

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 973 are 7 x 139

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

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

Given numbers are 749, 735, 973, 144

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

Apply this formula for all numbers.

Step1:

LCM(749, 735) = 78645

GCD(749, 735) = ( 749 x 735 ) / 78645

= 749 / 735

= 749

Step2:

LCM(7, 973) = 973

GCD(7, 973) = ( 7 x 973 ) / 973

= 7 / 973

= 7

Step3:

LCM(7, 144) = 1008

GCD(7, 144) = ( 7 x 144 ) / 1008

= 7 / 144

= 7

So, Greatest Common Divisor of 749, 735, 973, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 602, 240, 833
• GCD of 762, 863, 148, 179
• GCD of 627, 685, 437, 794
• GCD of 383, 666, 211, 218
• GCD of 223, 764, 947, 896

Given numbers are 749, 735, 973, 144
The greatest common divisor of numbers 749, 735, 973, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 735, 973, 144 is 1.

1. What is the GCD of 749, 735, 973, 144?

GCD of given numbers 749, 735, 973, 144 is 1

2. How to calculate the greatest common divisor of 749, 735, 973, 144?

We can find the highest common divisor of 749, 735, 973, 144 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 749, 735, 973, 144 i.e 1.

3. How can I use the GCD of 749, 735, 973, 144Calculator?

Out the numbers 749, 735, 973, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.