GCD of 642, 508, 758, 416 Calculator

Given Input numbers are 642, 508, 758, 416

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD of numbers is the greatest common divisor

So, the GCD (642, 508, 758, 416) = 2.

Given numbers are 642, 508, 758, 416

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 508 are 2 x 2 x 127

Prime factors of 758 are 2 x 379

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 642, 508, 758, 416 is 2.

Given numbers are 642, 508, 758, 416

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

Apply this formula for all numbers.

Step1:

LCM(642, 508) = 163068

GCD(642, 508) = ( 642 x 508 ) / 163068

= 642 / 508

= 642

Step2:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2

Step3:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

So, Greatest Common Divisor of 642, 508, 758, 416 is 2

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Given numbers are 642, 508, 758, 416
The greatest common divisor of numbers 642, 508, 758, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 508, 758, 416 is 2.

1. What is the GCD of 642, 508, 758, 416?

GCD of given numbers 642, 508, 758, 416 is 2

2. How to calculate the greatest common divisor of 642, 508, 758, 416?

We can find the highest common divisor of 642, 508, 758, 416 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 642, 508, 758, 416 i.e 2.

3. How can I use the GCD of 642, 508, 758, 416Calculator?

Out the numbers 642, 508, 758, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.