GCD of 494, 938, 776, 986 Calculator

Given Input numbers are 494, 938, 776, 986

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (494, 938, 776, 986) = 2.

Given numbers are 494, 938, 776, 986

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 938 are 2 x 7 x 67

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 494, 938, 776, 986 is 2.

Given numbers are 494, 938, 776, 986

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

Apply this formula for all numbers.

Step1:

LCM(494, 938) = 231686

GCD(494, 938) = ( 494 x 938 ) / 231686

= 494 / 938

= 494

Step2:

LCM(2, 776) = 776

GCD(2, 776) = ( 2 x 776 ) / 776

= 2 / 776

= 2

Step3:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

So, Greatest Common Divisor of 494, 938, 776, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 782, 475, 273
• GCD of 677, 444, 613, 165
• GCD of 203, 277, 821, 727
• GCD of 278, 972, 789, 308
• GCD of 431, 268, 242, 633

Given numbers are 494, 938, 776, 986
The greatest common divisor of numbers 494, 938, 776, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 938, 776, 986 is 2.

1. What is the GCD of 494, 938, 776, 986?

GCD of given numbers 494, 938, 776, 986 is 2

2. How to calculate the greatest common divisor of 494, 938, 776, 986?

We can find the highest common divisor of 494, 938, 776, 986 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 494, 938, 776, 986 i.e 2.

3. How can I use the GCD of 494, 938, 776, 986Calculator?

Out the numbers 494, 938, 776, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.