GCD of 782, 420, 922, 118 Calculator

Given Input numbers are 782, 420, 922, 118

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (782, 420, 922, 118) = 2.

Given numbers are 782, 420, 922, 118

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 922 are 2 x 461

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 782, 420, 922, 118 is 2.

Given numbers are 782, 420, 922, 118

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

Apply this formula for all numbers.

Step1:

LCM(782, 420) = 164220

GCD(782, 420) = ( 782 x 420 ) / 164220

= 782 / 420

= 782

Step2:

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

= 2 / 922

= 2

Step3:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

So, Greatest Common Divisor of 782, 420, 922, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 341, 679, 351
• GCD of 423, 820, 558, 192
• GCD of 299, 938, 377, 706
• GCD of 545, 249, 265, 934
• GCD of 215, 197, 179, 703

Given numbers are 782, 420, 922, 118
The greatest common divisor of numbers 782, 420, 922, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 420, 922, 118 is 2.

1. What is the GCD of 782, 420, 922, 118?

GCD of given numbers 782, 420, 922, 118 is 2

2. How to calculate the greatest common divisor of 782, 420, 922, 118?

We can find the highest common divisor of 782, 420, 922, 118 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 782, 420, 922, 118 i.e 2.

3. How can I use the GCD of 782, 420, 922, 118Calculator?

Out the numbers 782, 420, 922, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.