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GCD of 197, 714, 120, 785 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 197, 714, 120, 785 quickly. Get the easiest ways to solve the greatest common divisor of 197, 714, 120, 785 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 197, 714, 120, 785 with Factoring?

Given Input numbers are 197, 714, 120, 785

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

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

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 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

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785


GCD of numbers is the greatest common divisor

So, the GCD (197, 714, 120, 785) = 1.

Find GCD of 197, 714, 120, 785 using Prime Factorization

Given numbers are 197, 714, 120, 785

The list of prime factors of all numbers are

Prime factors of 197 are 197

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

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

Prime factors of 785 are 5 x 157

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 197, 714, 120, 785 using LCM Formula

Given numbers are 197, 714, 120, 785

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

Apply this formula for all numbers.

Step1:

LCM(197, 714) = 140658

GCD(197, 714) = ( 197 x 714 ) / 140658

= 197 / 714

= 197


Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


Step3:

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

= 1 / 785

= 1


So, Greatest Common Divisor of 197, 714, 120, 785 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 197, 714, 120, 785

Given numbers are 197, 714, 120, 785
The greatest common divisor of numbers 197, 714, 120, 785 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 197, 714, 120, 785 is 1.

FAQs on GCD of 197, 714, 120, 785 Calculator

1. What is the GCD of 197, 714, 120, 785?

GCD of given numbers 197, 714, 120, 785 is 1


2. How to calculate the greatest common divisor of 197, 714, 120, 785?

We can find the highest common divisor of 197, 714, 120, 785 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 197, 714, 120, 785 i.e 1.


3. How can I use the GCD of 197, 714, 120, 785Calculator?

Out the numbers 197, 714, 120, 785 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.