GCD of 105, 742, 348, 725 Calculator

Given Input numbers are 105, 742, 348, 725

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (105, 742, 348, 725) = 1.

Given numbers are 105, 742, 348, 725

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 742 are 2 x 7 x 53

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 105, 742, 348, 725

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

Apply this formula for all numbers.

Step1:

LCM(105, 742) = 11130

GCD(105, 742) = ( 105 x 742 ) / 11130

= 105 / 742

= 105

Step2:

LCM(7, 348) = 2436

GCD(7, 348) = ( 7 x 348 ) / 2436

= 7 / 348

= 7

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 105, 742, 348, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 651, 866, 778
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Given numbers are 105, 742, 348, 725
The greatest common divisor of numbers 105, 742, 348, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 742, 348, 725 is 1.

1. What is the GCD of 105, 742, 348, 725?

GCD of given numbers 105, 742, 348, 725 is 1

2. How to calculate the greatest common divisor of 105, 742, 348, 725?

We can find the highest common divisor of 105, 742, 348, 725 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 105, 742, 348, 725 i.e 1.

3. How can I use the GCD of 105, 742, 348, 725Calculator?

Out the numbers 105, 742, 348, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.