GCD of 998, 736, 294, 770 Calculator

Given Input numbers are 998, 736, 294, 770

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

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

GCD of numbers is the greatest common divisor

So, the GCD (998, 736, 294, 770) = 2.

Given numbers are 998, 736, 294, 770

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 770 are 2 x 5 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 998, 736, 294, 770 is 2.

Given numbers are 998, 736, 294, 770

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

Apply this formula for all numbers.

Step1:

LCM(998, 736) = 367264

GCD(998, 736) = ( 998 x 736 ) / 367264

= 998 / 736

= 998

Step2:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2

Step3:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2

So, Greatest Common Divisor of 998, 736, 294, 770 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 613, 401, 742
• GCD of 169, 546, 416, 967
• GCD of 219, 615, 150, 195
• GCD of 592, 556, 244, 698
• GCD of 265, 133, 852, 589

Given numbers are 998, 736, 294, 770
The greatest common divisor of numbers 998, 736, 294, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 736, 294, 770 is 2.

1. What is the GCD of 998, 736, 294, 770?

GCD of given numbers 998, 736, 294, 770 is 2

2. How to calculate the greatest common divisor of 998, 736, 294, 770?

We can find the highest common divisor of 998, 736, 294, 770 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 998, 736, 294, 770 i.e 2.

3. How can I use the GCD of 998, 736, 294, 770Calculator?

Out the numbers 998, 736, 294, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.