GCD of 126, 740, 464, 338 Calculator

Given Input numbers are 126, 740, 464, 338

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 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (126, 740, 464, 338) = 2.

Given numbers are 126, 740, 464, 338

The list of prime factors of all numbers are

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

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 126, 740, 464, 338 is 2.

Given numbers are 126, 740, 464, 338

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

Apply this formula for all numbers.

Step1:

LCM(126, 740) = 46620

GCD(126, 740) = ( 126 x 740 ) / 46620

= 126 / 740

= 126

Step2:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 126, 740, 464, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 435, 609, 407
• GCD of 919, 422, 369, 807
• GCD of 942, 937, 579, 453
• GCD of 757, 271, 655, 893
• GCD of 909, 334, 309, 877

Given numbers are 126, 740, 464, 338
The greatest common divisor of numbers 126, 740, 464, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 740, 464, 338 is 2.

1. What is the GCD of 126, 740, 464, 338?

GCD of given numbers 126, 740, 464, 338 is 2

2. How to calculate the greatest common divisor of 126, 740, 464, 338?

We can find the highest common divisor of 126, 740, 464, 338 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, 740, 464, 338 i.e 2.

3. How can I use the GCD of 126, 740, 464, 338Calculator?

Out the numbers 126, 740, 464, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.