GCD of 722, 100, 988, 471 Calculator

Given Input numbers are 722, 100, 988, 471

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (722, 100, 988, 471) = 1.

Given numbers are 722, 100, 988, 471

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 471 are 3 x 157

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

Given numbers are 722, 100, 988, 471

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

Apply this formula for all numbers.

Step1:

LCM(722, 100) = 36100

GCD(722, 100) = ( 722 x 100 ) / 36100

= 722 / 100

= 722

Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

Step3:

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

= 2 / 471

= 2

So, Greatest Common Divisor of 722, 100, 988, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 263, 539, 389
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Given numbers are 722, 100, 988, 471
The greatest common divisor of numbers 722, 100, 988, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 100, 988, 471 is 1.

1. What is the GCD of 722, 100, 988, 471?

GCD of given numbers 722, 100, 988, 471 is 1

2. How to calculate the greatest common divisor of 722, 100, 988, 471?

We can find the highest common divisor of 722, 100, 988, 471 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 722, 100, 988, 471 i.e 1.

3. How can I use the GCD of 722, 100, 988, 471Calculator?

Out the numbers 722, 100, 988, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.