GCD of 742, 240, 212, 889 Calculator

Given Input numbers are 742, 240, 212, 889

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

GCD of numbers is the greatest common divisor

So, the GCD (742, 240, 212, 889) = 1.

Given numbers are 742, 240, 212, 889

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 212 are 2 x 2 x 53

Prime factors of 889 are 7 x 127

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

Given numbers are 742, 240, 212, 889

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

Apply this formula for all numbers.

Step1:

LCM(742, 240) = 89040

GCD(742, 240) = ( 742 x 240 ) / 89040

= 742 / 240

= 742

Step2:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2

Step3:

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

= 2 / 889

= 2

So, Greatest Common Divisor of 742, 240, 212, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 708, 176, 325
• GCD of 874, 345, 975, 706
• GCD of 431, 738, 760, 857
• GCD of 655, 670, 466, 396
• GCD of 286, 791, 836, 354

Given numbers are 742, 240, 212, 889
The greatest common divisor of numbers 742, 240, 212, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 240, 212, 889 is 1.

1. What is the GCD of 742, 240, 212, 889?

GCD of given numbers 742, 240, 212, 889 is 1

2. How to calculate the greatest common divisor of 742, 240, 212, 889?

We can find the highest common divisor of 742, 240, 212, 889 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, 240, 212, 889 i.e 1.

3. How can I use the GCD of 742, 240, 212, 889Calculator?

Out the numbers 742, 240, 212, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.