GCD of 138, 776, 474, 922 Calculator

Given Input numbers are 138, 776, 474, 922

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 776 :

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

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 922 :

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

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (138, 776, 474, 922) = 2.

Given numbers are 138, 776, 474, 922

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 474 are 2 x 3 x 79

Prime factors of 922 are 2 x 461

The highest common occurrence is 2¹

Therefore, GCD of 138, 776, 474, 922 is 2.

Given numbers are 138, 776, 474, 922

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

Apply this formula for all numbers.

Step1:

LCM(138, 776) = 53544

GCD(138, 776) = ( 138 x 776 ) / 53544

= 138 / 776

= 138

Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

Step3:

LCM(2, 922) = 922

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

= 2 / 922

= 2

So, Greatest Common Divisor of 138, 776, 474, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 312, 492, 220
• GCD of 713, 415, 804, 282
• GCD of 143, 427, 124, 628
• GCD of 474, 604, 777, 740
• GCD of 301, 836, 277, 174

Given numbers are 138, 776, 474, 922
The greatest common divisor of numbers 138, 776, 474, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 776, 474, 922 is 2.

1. What is the GCD of 138, 776, 474, 922?

GCD of given numbers 138, 776, 474, 922 is 2

2. How to calculate the greatest common divisor of 138, 776, 474, 922?

We can find the highest common divisor of 138, 776, 474, 922 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 138, 776, 474, 922 i.e 2.

3. How can I use the GCD of 138, 776, 474, 922Calculator?

Out the numbers 138, 776, 474, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.