GCD of 710, 614, 754, 120 Calculator

Given Input numbers are 710, 614, 754, 120

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

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

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 (710, 614, 754, 120) = 2.

Given numbers are 710, 614, 754, 120

The list of prime factors of all numbers are

Prime factors of 710 are 2 x 5 x 71

Prime factors of 614 are 2 x 307

Prime factors of 754 are 2 x 13 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 710, 614, 754, 120 is 2.

Given numbers are 710, 614, 754, 120

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

Apply this formula for all numbers.

Step1:

LCM(710, 614) = 217970

GCD(710, 614) = ( 710 x 614 ) / 217970

= 710 / 614

= 710

Step2:

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

= 2 / 754

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 710, 614, 754, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 485, 831, 613
• GCD of 701, 582, 317, 984
• GCD of 753, 997, 178, 852
• GCD of 547, 474, 668, 602
• GCD of 175, 410, 988, 326

Given numbers are 710, 614, 754, 120
The greatest common divisor of numbers 710, 614, 754, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 614, 754, 120 is 2.

1. What is the GCD of 710, 614, 754, 120?

GCD of given numbers 710, 614, 754, 120 is 2

2. How to calculate the greatest common divisor of 710, 614, 754, 120?

We can find the highest common divisor of 710, 614, 754, 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 710, 614, 754, 120 i.e 2.

3. How can I use the GCD of 710, 614, 754, 120Calculator?

Out the numbers 710, 614, 754, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.