GCD of 714, 258, 120 Calculator

Given Input numbers are 714, 258, 120

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (714, 258, 120) = 6.

Given numbers are 714, 258, 120

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 258 are 2 x 3 x 43

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 714, 258, 120 is 6.

Given numbers are 714, 258, 120

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

Apply this formula for all numbers.

Step1:

LCM(714, 258) = 30702

GCD(714, 258) = ( 714 x 258 ) / 30702

= 714 / 258

= 714

Step2:

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

= 6 / 120

= 6

So, Greatest Common Divisor of 714, 258, 120 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 430, 495
• GCD of 692, 183, 882
• GCD of 282, 735, 401
• GCD of 163, 608, 728
• GCD of 965, 615, 774

Given numbers are 714, 258, 120
The greatest common divisor of numbers 714, 258, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 258, 120 is 6.

1. What is the GCD of 714, 258, 120?

GCD of given numbers 714, 258, 120 is 6

2. How to calculate the greatest common divisor of 714, 258, 120?

We can find the highest common divisor of 714, 258, 120 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 714, 258, 120 i.e 6.

3. How can I use the GCD of 714, 258, 120Calculator?

Out the numbers 714, 258, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.