GCD of 392, 874, 705, 725 Calculator

Given Input numbers are 392, 874, 705, 725

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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 (392, 874, 705, 725) = 1.

Given numbers are 392, 874, 705, 725

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 874 are 2 x 19 x 23

Prime factors of 705 are 3 x 5 x 47

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 392, 874, 705, 725

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

Apply this formula for all numbers.

Step1:

LCM(392, 874) = 171304

GCD(392, 874) = ( 392 x 874 ) / 171304

= 392 / 874

= 392

Step2:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

Step3:

LCM(1, 725) = 725

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

= 1 / 725

= 1

So, Greatest Common Divisor of 392, 874, 705, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 312, 583, 986
• GCD of 103, 214, 612, 601
• GCD of 726, 719, 465, 276
• GCD of 485, 881, 922, 435
• GCD of 257, 538, 660, 594

Given numbers are 392, 874, 705, 725
The greatest common divisor of numbers 392, 874, 705, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 874, 705, 725 is 1.

1. What is the GCD of 392, 874, 705, 725?

GCD of given numbers 392, 874, 705, 725 is 1

2. How to calculate the greatest common divisor of 392, 874, 705, 725?

We can find the highest common divisor of 392, 874, 705, 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 392, 874, 705, 725 i.e 1.

3. How can I use the GCD of 392, 874, 705, 725Calculator?

Out the numbers 392, 874, 705, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.