GCD of 716, 242, 78, 998 Calculator

Given Input numbers are 716, 242, 78, 998

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

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 (716, 242, 78, 998) = 2.

Given numbers are 716, 242, 78, 998

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 242 are 2 x 11 x 11

Prime factors of 78 are 2 x 3 x 13

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 716, 242, 78, 998 is 2.

Given numbers are 716, 242, 78, 998

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

Apply this formula for all numbers.

Step1:

LCM(716, 242) = 86636

GCD(716, 242) = ( 716 x 242 ) / 86636

= 716 / 242

= 716

Step2:

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

= 2 / 78

= 2

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 716, 242, 78, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 626, 32, 675
• GCD of 189, 760, 69, 729
• GCD of 911, 282, 79, 413
• GCD of 803, 564, 51, 234
• GCD of 468, 508, 44, 253

Given numbers are 716, 242, 78, 998
The greatest common divisor of numbers 716, 242, 78, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 242, 78, 998 is 2.

1. What is the GCD of 716, 242, 78, 998?

GCD of given numbers 716, 242, 78, 998 is 2

2. How to calculate the greatest common divisor of 716, 242, 78, 998?

We can find the highest common divisor of 716, 242, 78, 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 716, 242, 78, 998 i.e 2.

3. How can I use the GCD of 716, 242, 78, 998Calculator?

Out the numbers 716, 242, 78, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.