GCD of 748, 132, 175, 674 Calculator

Given Input numbers are 748, 132, 175, 674

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 175 :

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

1, 5, 7, 25, 35, 175

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 (748, 132, 175, 674) = 1.

Given numbers are 748, 132, 175, 674

The list of prime factors of all numbers are

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

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 175 are 5 x 5 x 7

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 748, 132, 175, 674

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

Apply this formula for all numbers.

Step1:

LCM(748, 132) = 2244

GCD(748, 132) = ( 748 x 132 ) / 2244

= 748 / 132

= 748

Step2:

LCM(44, 175) = 7700

GCD(44, 175) = ( 44 x 175 ) / 7700

= 44 / 175

= 44

Step3:

LCM(1, 674) = 674

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

= 1 / 674

= 1

So, Greatest Common Divisor of 748, 132, 175, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 532, 409, 299
• GCD of 372, 858, 661, 101
• GCD of 570, 130, 874, 524
• GCD of 841, 716, 645, 523
• GCD of 618, 635, 727, 385

Given numbers are 748, 132, 175, 674
The greatest common divisor of numbers 748, 132, 175, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 132, 175, 674 is 1.

1. What is the GCD of 748, 132, 175, 674?

GCD of given numbers 748, 132, 175, 674 is 1

2. How to calculate the greatest common divisor of 748, 132, 175, 674?

We can find the highest common divisor of 748, 132, 175, 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 748, 132, 175, 674 i.e 1.

3. How can I use the GCD of 748, 132, 175, 674Calculator?

Out the numbers 748, 132, 175, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.