GCD of 742, 286, 208, 914 Calculator

Given Input numbers are 742, 286, 208, 914

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (742, 286, 208, 914) = 2.

Given numbers are 742, 286, 208, 914

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 286 are 2 x 11 x 13

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 914 are 2 x 457

The highest common occurrence is 2¹

Therefore, GCD of 742, 286, 208, 914 is 2.

Given numbers are 742, 286, 208, 914

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

Apply this formula for all numbers.

Step1:

LCM(742, 286) = 106106

GCD(742, 286) = ( 742 x 286 ) / 106106

= 742 / 286

= 742

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

= 2 / 914

= 2

So, Greatest Common Divisor of 742, 286, 208, 914 is 2

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Given numbers are 742, 286, 208, 914
The greatest common divisor of numbers 742, 286, 208, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 286, 208, 914 is 2.

1. What is the GCD of 742, 286, 208, 914?

GCD of given numbers 742, 286, 208, 914 is 2

2. How to calculate the greatest common divisor of 742, 286, 208, 914?

We can find the highest common divisor of 742, 286, 208, 914 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 742, 286, 208, 914 i.e 2.

3. How can I use the GCD of 742, 286, 208, 914Calculator?

Out the numbers 742, 286, 208, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.