GCD of 754, 380, 684, 490 Calculator

Given Input numbers are 754, 380, 684, 490

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

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 (754, 380, 684, 490) = 2.

Given numbers are 754, 380, 684, 490

The list of prime factors of all numbers are

Prime factors of 754 are 2 x 13 x 29

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 754, 380, 684, 490 is 2.

Given numbers are 754, 380, 684, 490

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

Apply this formula for all numbers.

Step1:

LCM(754, 380) = 143260

GCD(754, 380) = ( 754 x 380 ) / 143260

= 754 / 380

= 754

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 490) = 490

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

= 2 / 490

= 2

So, Greatest Common Divisor of 754, 380, 684, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 409, 980, 900, 573
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• GCD of 474, 232, 683, 994
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Given numbers are 754, 380, 684, 490
The greatest common divisor of numbers 754, 380, 684, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 754, 380, 684, 490 is 2.

1. What is the GCD of 754, 380, 684, 490?

GCD of given numbers 754, 380, 684, 490 is 2

2. How to calculate the greatest common divisor of 754, 380, 684, 490?

We can find the highest common divisor of 754, 380, 684, 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 754, 380, 684, 490 i.e 2.

3. How can I use the GCD of 754, 380, 684, 490Calculator?

Out the numbers 754, 380, 684, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.