GCD of 670, 692, 77, 949 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 670, 692, 77, 949 i.e. 1 largest integer that divides all the numbers equally.

GCD of 670, 692, 77, 949 is 1

GCD(670, 692, 77, 949) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 670, 692, 77, 949 is 1

GCD(670, 692, 77, 949) = 1

GCD of 670,692,77,949 Calculator

GCDof 670,692,77,949 is 1

Given Input numbers are 670, 692, 77, 949

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 670, 692, 77, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 692, 77, 949 is 1.

Therefore, GCD of numbers 670, 692, 77, 949 is 1

Finding GCD of 670, 692, 77, 949 using Prime Factorization

Given Input Data is 670, 692, 77, 949

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 77 is 7 x 11

Prime Factorization of 949 is 13 x 73

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

Finding GCD of 670, 692, 77, 949 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(670, 692) = 231820

GCD(670, 692) = ( 670 x 692 ) / 231820

GCD(670, 692) = 463640 / 231820

GCD(670, 692) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 670, 692, 77, 949 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 670, 692, 77, 949

1. What is the GCD of 670, 692, 77, 949?

GCD of 670, 692, 77, 949 is 1


2. Where do I get the detailed procedure to find GCD of 670, 692, 77, 949?

You can find a detailed procedure to find GCD of 670, 692, 77, 949 on our page.


3. How to find GCD of 670, 692, 77, 949 on a calculator?

You can find the GCD of 670, 692, 77, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.