GCD of 774, 298, 742, 118 Calculator

Given Input numbers are 774, 298, 742, 118

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 (774, 298, 742, 118) = 2.

Given numbers are 774, 298, 742, 118

The list of prime factors of all numbers are

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 298 are 2 x 149

Prime factors of 742 are 2 x 7 x 53

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 774, 298, 742, 118 is 2.

Given numbers are 774, 298, 742, 118

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

Apply this formula for all numbers.

Step1:

LCM(774, 298) = 115326

GCD(774, 298) = ( 774 x 298 ) / 115326

= 774 / 298

= 774

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 118) = 118

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

= 2 / 118

= 2

So, Greatest Common Divisor of 774, 298, 742, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 560, 618, 354
• GCD of 524, 298, 247, 210
• GCD of 218, 513, 796, 316
• GCD of 435, 939, 863, 777
• GCD of 302, 757, 999, 558

Given numbers are 774, 298, 742, 118
The greatest common divisor of numbers 774, 298, 742, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 298, 742, 118 is 2.

1. What is the GCD of 774, 298, 742, 118?

GCD of given numbers 774, 298, 742, 118 is 2

2. How to calculate the greatest common divisor of 774, 298, 742, 118?

We can find the highest common divisor of 774, 298, 742, 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 774, 298, 742, 118 i.e 2.

3. How can I use the GCD of 774, 298, 742, 118Calculator?

Out the numbers 774, 298, 742, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.