GCD of 116, 940, 490, 786 Calculator

Given Input numbers are 116, 940, 490, 786

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

GCD of numbers is the greatest common divisor

So, the GCD (116, 940, 490, 786) = 2.

Given numbers are 116, 940, 490, 786

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 786 are 2 x 3 x 131

The highest common occurrence is 2¹

Therefore, GCD of 116, 940, 490, 786 is 2.

Given numbers are 116, 940, 490, 786

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

Apply this formula for all numbers.

Step1:

LCM(116, 940) = 27260

GCD(116, 940) = ( 116 x 940 ) / 27260

= 116 / 940

= 116

Step2:

LCM(4, 490) = 980

GCD(4, 490) = ( 4 x 490 ) / 980

= 4 / 490

= 4

Step3:

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

= 2 / 786

= 2

So, Greatest Common Divisor of 116, 940, 490, 786 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 305, 606, 177
• GCD of 116, 890, 119, 128
• GCD of 532, 110, 153, 597
• GCD of 922, 633, 746, 841
• GCD of 279, 718, 272, 771

Given numbers are 116, 940, 490, 786
The greatest common divisor of numbers 116, 940, 490, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 940, 490, 786 is 2.

1. What is the GCD of 116, 940, 490, 786?

GCD of given numbers 116, 940, 490, 786 is 2

2. How to calculate the greatest common divisor of 116, 940, 490, 786?

We can find the highest common divisor of 116, 940, 490, 786 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 116, 940, 490, 786 i.e 2.

3. How can I use the GCD of 116, 940, 490, 786Calculator?

Out the numbers 116, 940, 490, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.