GCD of 126, 490, 42, 749 Calculator

Given Input numbers are 126, 490, 42, 749

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 749 :

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

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (126, 490, 42, 749) = 7.

Given numbers are 126, 490, 42, 749

The list of prime factors of all numbers are

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

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 42 are 2 x 3 x 7

Prime factors of 749 are 7 x 107

The highest common occurrence is 7¹

Therefore, GCD of 126, 490, 42, 749 is 7.

Given numbers are 126, 490, 42, 749

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

Apply this formula for all numbers.

Step1:

LCM(126, 490) = 4410

GCD(126, 490) = ( 126 x 490 ) / 4410

= 126 / 490

= 126

Step2:

LCM(14, 42) = 42

GCD(14, 42) = ( 14 x 42 ) / 42

= 14 / 42

= 14

Step3:

LCM(14, 749) = 1498

GCD(14, 749) = ( 14 x 749 ) / 1498

= 14 / 749

= 14

So, Greatest Common Divisor of 126, 490, 42, 749 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 666, 69, 335
• GCD of 266, 650, 54, 810
• GCD of 397, 847, 83, 682
• GCD of 244, 652, 43, 181
• GCD of 311, 798, 23, 355

Given numbers are 126, 490, 42, 749
The greatest common divisor of numbers 126, 490, 42, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 490, 42, 749 is 7.

1. What is the GCD of 126, 490, 42, 749?

GCD of given numbers 126, 490, 42, 749 is 7

2. How to calculate the greatest common divisor of 126, 490, 42, 749?

We can find the highest common divisor of 126, 490, 42, 749 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, 490, 42, 749 i.e 7.

3. How can I use the GCD of 126, 490, 42, 749Calculator?

Out the numbers 126, 490, 42, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.