GCD of 748, 695, 175, 828 Calculator

Given Input numbers are 748, 695, 175, 828

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

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 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (748, 695, 175, 828) = 1.

Given numbers are 748, 695, 175, 828

The list of prime factors of all numbers are

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

Prime factors of 695 are 5 x 139

Prime factors of 175 are 5 x 5 x 7

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 748, 695, 175, 828

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

Apply this formula for all numbers.

Step1:

LCM(748, 695) = 519860

GCD(748, 695) = ( 748 x 695 ) / 519860

= 748 / 695

= 748

Step2:

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

= 1 / 175

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 748, 695, 175, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 759, 291, 685
• GCD of 391, 430, 560, 856
• GCD of 947, 584, 611, 622
• GCD of 144, 172, 360, 536
• GCD of 117, 345, 211, 690

Given numbers are 748, 695, 175, 828
The greatest common divisor of numbers 748, 695, 175, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 695, 175, 828 is 1.

1. What is the GCD of 748, 695, 175, 828?

GCD of given numbers 748, 695, 175, 828 is 1

2. How to calculate the greatest common divisor of 748, 695, 175, 828?

We can find the highest common divisor of 748, 695, 175, 828 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 748, 695, 175, 828 i.e 1.

3. How can I use the GCD of 748, 695, 175, 828Calculator?

Out the numbers 748, 695, 175, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.