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GCD of 650, 670, 720, 682 Calculator

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


Online GCD Calculator is useful to find the GCD of 650, 670, 720, 682 quickly. Get the easiest ways to solve the greatest common divisor of 650, 670, 720, 682 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 650, 670, 720, 682 with Factoring?

Given Input numbers are 650, 670, 720, 682

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

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 670 :

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

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682


GCD of numbers is the greatest common divisor

So, the GCD (650, 670, 720, 682) = 2.

Find GCD of 650, 670, 720, 682 using Prime Factorization

Given numbers are 650, 670, 720, 682

The list of prime factors of all numbers are

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 670 are 2 x 5 x 67

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 21

Therefore, GCD of 650, 670, 720, 682 is 2.

Steps to Calculate GCD of 650, 670, 720, 682 using LCM Formula

Given numbers are 650, 670, 720, 682

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

Apply this formula for all numbers.

Step1:

LCM(650, 670) = 43550

GCD(650, 670) = ( 650 x 670 ) / 43550

= 650 / 670

= 650


Step2:

LCM(10, 720) = 720

GCD(10, 720) = ( 10 x 720 ) / 720

= 10 / 720

= 10


Step3:

LCM(10, 682) = 3410

GCD(10, 682) = ( 10 x 682 ) / 3410

= 10 / 682

= 10


So, Greatest Common Divisor of 650, 670, 720, 682 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 650, 670, 720, 682

Given numbers are 650, 670, 720, 682
The greatest common divisor of numbers 650, 670, 720, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 670, 720, 682 is 2.

FAQs on GCD of 650, 670, 720, 682 Calculator

1. What is the GCD of 650, 670, 720, 682?

GCD of given numbers 650, 670, 720, 682 is 2


2. How to calculate the greatest common divisor of 650, 670, 720, 682?

We can find the highest common divisor of 650, 670, 720, 682 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 650, 670, 720, 682 i.e 2.


3. How can I use the GCD of 650, 670, 720, 682Calculator?

Out the numbers 650, 670, 720, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.