GCD of 265, 725, 748, 674 Calculator

Given Input numbers are 265, 725, 748, 674

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

Divisors of 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (265, 725, 748, 674) = 1.

Given numbers are 265, 725, 748, 674

The list of prime factors of all numbers are

Prime factors of 265 are 5 x 53

Prime factors of 725 are 5 x 5 x 29

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 674 are 2 x 337

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

Given numbers are 265, 725, 748, 674

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

Apply this formula for all numbers.

Step1:

LCM(265, 725) = 38425

GCD(265, 725) = ( 265 x 725 ) / 38425

= 265 / 725

= 265

Step2:

LCM(5, 748) = 3740

GCD(5, 748) = ( 5 x 748 ) / 3740

= 5 / 748

= 5

Step3:

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

= 1 / 674

= 1

So, Greatest Common Divisor of 265, 725, 748, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 413, 670, 170
• GCD of 249, 773, 775, 453
• GCD of 279, 108, 368, 670
• GCD of 783, 803, 387, 679
• GCD of 137, 975, 714, 814

Given numbers are 265, 725, 748, 674
The greatest common divisor of numbers 265, 725, 748, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 265, 725, 748, 674 is 1.

1. What is the GCD of 265, 725, 748, 674?

GCD of given numbers 265, 725, 748, 674 is 1

2. How to calculate the greatest common divisor of 265, 725, 748, 674?

We can find the highest common divisor of 265, 725, 748, 674 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 265, 725, 748, 674 i.e 1.

3. How can I use the GCD of 265, 725, 748, 674Calculator?

Out the numbers 265, 725, 748, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.