GCD of 742, 902, 972, 217 Calculator

Given Input numbers are 742, 902, 972, 217

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 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

GCD of numbers is the greatest common divisor

So, the GCD (742, 902, 972, 217) = 1.

Given numbers are 742, 902, 972, 217

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 902 are 2 x 11 x 41

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 217 are 7 x 31

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

Given numbers are 742, 902, 972, 217

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

Apply this formula for all numbers.

Step1:

LCM(742, 902) = 334642

GCD(742, 902) = ( 742 x 902 ) / 334642

= 742 / 902

= 742

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

Step3:

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

= 2 / 217

= 2

So, Greatest Common Divisor of 742, 902, 972, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 137, 904, 116
• GCD of 445, 113, 612, 780
• GCD of 955, 976, 939, 522
• GCD of 562, 217, 434, 689
• GCD of 848, 231, 325, 773

Given numbers are 742, 902, 972, 217
The greatest common divisor of numbers 742, 902, 972, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 902, 972, 217 is 1.

1. What is the GCD of 742, 902, 972, 217?

GCD of given numbers 742, 902, 972, 217 is 1

2. How to calculate the greatest common divisor of 742, 902, 972, 217?

We can find the highest common divisor of 742, 902, 972, 217 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, 902, 972, 217 i.e 1.

3. How can I use the GCD of 742, 902, 972, 217Calculator?

Out the numbers 742, 902, 972, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.