GCD of 764, 740, 462, 490 Calculator

Given Input numbers are 764, 740, 462, 490

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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

GCD of numbers is the greatest common divisor

So, the GCD (764, 740, 462, 490) = 2.

Given numbers are 764, 740, 462, 490

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

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

Prime factors of 462 are 2 x 3 x 7 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 764, 740, 462, 490 is 2.

Given numbers are 764, 740, 462, 490

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

Apply this formula for all numbers.

Step1:

LCM(764, 740) = 141340

GCD(764, 740) = ( 764 x 740 ) / 141340

= 764 / 740

= 764

Step2:

LCM(4, 462) = 924

GCD(4, 462) = ( 4 x 462 ) / 924

= 4 / 462

= 4

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 764, 740, 462, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 192, 753, 712
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Given numbers are 764, 740, 462, 490
The greatest common divisor of numbers 764, 740, 462, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 740, 462, 490 is 2.

1. What is the GCD of 764, 740, 462, 490?

GCD of given numbers 764, 740, 462, 490 is 2

2. How to calculate the greatest common divisor of 764, 740, 462, 490?

We can find the highest common divisor of 764, 740, 462, 490 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 764, 740, 462, 490 i.e 2.

3. How can I use the GCD of 764, 740, 462, 490Calculator?

Out the numbers 764, 740, 462, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.