GCD of 126, 749, 638, 175 Calculator

Given Input numbers are 126, 749, 638, 175

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 175 :

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

1, 5, 7, 25, 35, 175

GCD of numbers is the greatest common divisor

So, the GCD (126, 749, 638, 175) = 1.

Given numbers are 126, 749, 638, 175

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 749 are 7 x 107

Prime factors of 638 are 2 x 11 x 29

Prime factors of 175 are 5 x 5 x 7

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

Given numbers are 126, 749, 638, 175

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

Apply this formula for all numbers.

Step1:

LCM(126, 749) = 13482

GCD(126, 749) = ( 126 x 749 ) / 13482

= 126 / 749

= 126

Step2:

LCM(7, 638) = 4466

GCD(7, 638) = ( 7 x 638 ) / 4466

= 7 / 638

= 7

Step3:

LCM(1, 175) = 175

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

= 1 / 175

= 1

So, Greatest Common Divisor of 126, 749, 638, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 345, 338, 972
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Given numbers are 126, 749, 638, 175
The greatest common divisor of numbers 126, 749, 638, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 749, 638, 175 is 1.

1. What is the GCD of 126, 749, 638, 175?

GCD of given numbers 126, 749, 638, 175 is 1

2. How to calculate the greatest common divisor of 126, 749, 638, 175?

We can find the highest common divisor of 126, 749, 638, 175 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 126, 749, 638, 175 i.e 1.

3. How can I use the GCD of 126, 749, 638, 175Calculator?

Out the numbers 126, 749, 638, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.