GCD of 725, 770, 351, 749 Calculator

Given Input numbers are 725, 770, 351, 749

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 749 :

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

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (725, 770, 351, 749) = 1.

Given numbers are 725, 770, 351, 749

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 749 are 7 x 107

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

Given numbers are 725, 770, 351, 749

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

Apply this formula for all numbers.

Step1:

LCM(725, 770) = 111650

GCD(725, 770) = ( 725 x 770 ) / 111650

= 725 / 770

= 725

Step2:

LCM(5, 351) = 1755

GCD(5, 351) = ( 5 x 351 ) / 1755

= 5 / 351

= 5

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 725, 770, 351, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 602, 961, 763
• GCD of 146, 159, 546, 821
• GCD of 582, 832, 941, 109
• GCD of 716, 974, 538, 248
• GCD of 153, 686, 822, 589

Given numbers are 725, 770, 351, 749
The greatest common divisor of numbers 725, 770, 351, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 770, 351, 749 is 1.

1. What is the GCD of 725, 770, 351, 749?

GCD of given numbers 725, 770, 351, 749 is 1

2. How to calculate the greatest common divisor of 725, 770, 351, 749?

We can find the highest common divisor of 725, 770, 351, 749 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 725, 770, 351, 749 i.e 1.

3. How can I use the GCD of 725, 770, 351, 749Calculator?

Out the numbers 725, 770, 351, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.