GCD of 742, 171, 153, 998 Calculator

Given Input numbers are 742, 171, 153, 998

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 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (742, 171, 153, 998) = 1.

Given numbers are 742, 171, 153, 998

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 171 are 3 x 3 x 19

Prime factors of 153 are 3 x 3 x 17

Prime factors of 998 are 2 x 499

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

Given numbers are 742, 171, 153, 998

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

Apply this formula for all numbers.

Step1:

LCM(742, 171) = 126882

GCD(742, 171) = ( 742 x 171 ) / 126882

= 742 / 171

= 742

Step2:

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

= 1 / 153

= 1

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 742, 171, 153, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 838, 763, 842
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Given numbers are 742, 171, 153, 998
The greatest common divisor of numbers 742, 171, 153, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 171, 153, 998 is 1.

1. What is the GCD of 742, 171, 153, 998?

GCD of given numbers 742, 171, 153, 998 is 1

2. How to calculate the greatest common divisor of 742, 171, 153, 998?

We can find the highest common divisor of 742, 171, 153, 998 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, 171, 153, 998 i.e 1.

3. How can I use the GCD of 742, 171, 153, 998Calculator?

Out the numbers 742, 171, 153, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.