GCD of 625, 748, 574, 340 Calculator

Given Input numbers are 625, 748, 574, 340

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

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

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 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

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

GCD of numbers is the greatest common divisor

So, the GCD (625, 748, 574, 340) = 1.

Given numbers are 625, 748, 574, 340

The list of prime factors of all numbers are

Prime factors of 625 are 5 x 5 x 5 x 5

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

Prime factors of 574 are 2 x 7 x 41

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

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

Given numbers are 625, 748, 574, 340

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

Apply this formula for all numbers.

Step1:

LCM(625, 748) = 467500

GCD(625, 748) = ( 625 x 748 ) / 467500

= 625 / 748

= 625

Step2:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1

Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

So, Greatest Common Divisor of 625, 748, 574, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 296, 578, 298
• GCD of 349, 651, 964, 613
• GCD of 896, 844, 287, 870
• GCD of 511, 983, 845, 438
• GCD of 527, 483, 122, 695

Given numbers are 625, 748, 574, 340
The greatest common divisor of numbers 625, 748, 574, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 625, 748, 574, 340 is 1.

1. What is the GCD of 625, 748, 574, 340?

GCD of given numbers 625, 748, 574, 340 is 1

2. How to calculate the greatest common divisor of 625, 748, 574, 340?

We can find the highest common divisor of 625, 748, 574, 340 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 625, 748, 574, 340 i.e 1.

3. How can I use the GCD of 625, 748, 574, 340Calculator?

Out the numbers 625, 748, 574, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.