Where do I get the detailed procedure to find GCD of 760, 945, 670?

You can find a detailed procedure to find GCD of 760, 945, 670 on our page.

How to find GCD of 760, 945, 670 on a calculator?

You can find the GCD of 760, 945, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 760, 945, 670 Calculator

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

Online GCD Calculator is useful to find the GCD of 760, 945, 670 quickly. Get the easiest ways to solve the greatest common divisor of 760, 945, 670 i.e 5 in different methods as follows.

How to Find GCD of Numbers 760, 945, 670 with Factoring?

Given Input numbers are 760, 945, 670

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (760, 945, 670) = 5.

Find GCD of 760, 945, 670 using Prime Factorization

Given numbers are 760, 945, 670

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 670 are 2 x 5 x 67

The highest common occurrence is 5¹

Therefore, GCD of 760, 945, 670 is 5.

Steps to Calculate GCD of 760, 945, 670 using LCM Formula

Given numbers are 760, 945, 670

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

Apply this formula for all numbers.

Step1:

LCM(760, 945) = 143640

GCD(760, 945) = ( 760 x 945 ) / 143640

= 760 / 945

= 760

Step2:

LCM(5, 670) = 670

GCD(5, 670) = ( 5 x 670 ) / 670

= 5 / 670

= 5

So, Greatest Common Divisor of 760, 945, 670 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 760, 945, 670

Given numbers are 760, 945, 670
The greatest common divisor of numbers 760, 945, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 945, 670 is 5.

FAQs on GCD of 760, 945, 670 Calculator

1. What is the GCD of 760, 945, 670?

GCD of given numbers 760, 945, 670 is 5

2. How to calculate the greatest common divisor of 760, 945, 670?

We can find the highest common divisor of 760, 945, 670 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 760, 945, 670 i.e 5.

3. How can I use the GCD of 760, 945, 670Calculator?

Out the numbers 760, 945, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.