GCD of 340, 153, 748, 725 Calculator

Given Input numbers are 340, 153, 748, 725

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

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 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 (340, 153, 748, 725) = 1.

Given numbers are 340, 153, 748, 725

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 153 are 3 x 3 x 17

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

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 340, 153, 748, 725

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

Apply this formula for all numbers.

Step1:

LCM(340, 153) = 3060

GCD(340, 153) = ( 340 x 153 ) / 3060

= 340 / 153

= 340

Step2:

LCM(17, 748) = 748

GCD(17, 748) = ( 17 x 748 ) / 748

= 17 / 748

= 17

Step3:

LCM(17, 725) = 12325

GCD(17, 725) = ( 17 x 725 ) / 12325

= 17 / 725

= 17

So, Greatest Common Divisor of 340, 153, 748, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 301, 438, 390
• GCD of 373, 817, 832, 384
• GCD of 117, 922, 700, 316
• GCD of 512, 609, 718, 773
• GCD of 110, 757, 941, 414

Given numbers are 340, 153, 748, 725
The greatest common divisor of numbers 340, 153, 748, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 153, 748, 725 is 1.

1. What is the GCD of 340, 153, 748, 725?

GCD of given numbers 340, 153, 748, 725 is 1

2. How to calculate the greatest common divisor of 340, 153, 748, 725?

We can find the highest common divisor of 340, 153, 748, 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 340, 153, 748, 725 i.e 1.

3. How can I use the GCD of 340, 153, 748, 725Calculator?

Out the numbers 340, 153, 748, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.