GCD of 749, 676, 116, 145 Calculator

Given Input numbers are 749, 676, 116, 145

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

GCD of numbers is the greatest common divisor

So, the GCD (749, 676, 116, 145) = 1.

Given numbers are 749, 676, 116, 145

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 116 are 2 x 2 x 29

Prime factors of 145 are 5 x 29

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

Given numbers are 749, 676, 116, 145

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

Apply this formula for all numbers.

Step1:

LCM(749, 676) = 506324

GCD(749, 676) = ( 749 x 676 ) / 506324

= 749 / 676

= 749

Step2:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1

Step3:

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

= 1 / 145

= 1

So, Greatest Common Divisor of 749, 676, 116, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 964, 598, 568
• GCD of 939, 160, 781, 803
• GCD of 243, 140, 616, 207
• GCD of 700, 868, 785, 663
• GCD of 695, 852, 243, 244

Given numbers are 749, 676, 116, 145
The greatest common divisor of numbers 749, 676, 116, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 676, 116, 145 is 1.

1. What is the GCD of 749, 676, 116, 145?

GCD of given numbers 749, 676, 116, 145 is 1

2. How to calculate the greatest common divisor of 749, 676, 116, 145?

We can find the highest common divisor of 749, 676, 116, 145 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, 676, 116, 145 i.e 1.

3. How can I use the GCD of 749, 676, 116, 145Calculator?

Out the numbers 749, 676, 116, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.