GCD of 269, 916, 742 Calculator

Given Input numbers are 269, 916, 742

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

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (269, 916, 742) = 1.

Given numbers are 269, 916, 742

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 916 are 2 x 2 x 229

Prime factors of 742 are 2 x 7 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 269, 916, 742

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

Apply this formula for all numbers.

Step1:

LCM(269, 916) = 246404

GCD(269, 916) = ( 269 x 916 ) / 246404

= 269 / 916

= 269

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 269, 916, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 356, 881
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• GCD of 546, 389, 255
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Given numbers are 269, 916, 742
The greatest common divisor of numbers 269, 916, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 916, 742 is 1.

1. What is the GCD of 269, 916, 742?

GCD of given numbers 269, 916, 742 is 1

2. How to calculate the greatest common divisor of 269, 916, 742?

We can find the highest common divisor of 269, 916, 742 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 269, 916, 742 i.e 1.

3. How can I use the GCD of 269, 916, 742Calculator?

Out the numbers 269, 916, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.