GCD of 118, 510, 464, 742 Calculator

Given Input numbers are 118, 510, 464, 742

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

Divisors of 118 :

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

1, 2, 59, 118

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (118, 510, 464, 742) = 2.

Given numbers are 118, 510, 464, 742

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 118, 510, 464, 742 is 2.

Given numbers are 118, 510, 464, 742

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

Apply this formula for all numbers.

Step1:

LCM(118, 510) = 30090

GCD(118, 510) = ( 118 x 510 ) / 30090

= 118 / 510

= 118

Step2:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

Step3:

LCM(2, 742) = 742

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

= 2 / 742

= 2

So, Greatest Common Divisor of 118, 510, 464, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 788, 403, 740
• GCD of 940, 721, 207, 411
• GCD of 798, 462, 932, 711
• GCD of 333, 779, 516, 399
• GCD of 145, 617, 870, 786

Given numbers are 118, 510, 464, 742
The greatest common divisor of numbers 118, 510, 464, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 510, 464, 742 is 2.

1. What is the GCD of 118, 510, 464, 742?

GCD of given numbers 118, 510, 464, 742 is 2

2. How to calculate the greatest common divisor of 118, 510, 464, 742?

We can find the highest common divisor of 118, 510, 464, 742 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 118, 510, 464, 742 i.e 2.

3. How can I use the GCD of 118, 510, 464, 742Calculator?

Out the numbers 118, 510, 464, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.