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GCD of 650, 520, 745, 160 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, 520, 745, 160 quickly. Get the easiest ways to solve the greatest common divisor of 650, 520, 745, 160 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 650, 520, 745, 160 with Factoring?

Given Input numbers are 650, 520, 745, 160

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 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160


GCD of numbers is the greatest common divisor

So, the GCD (650, 520, 745, 160) = 5.

Find GCD of 650, 520, 745, 160 using Prime Factorization

Given numbers are 650, 520, 745, 160

The list of prime factors of all numbers are

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

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 745 are 5 x 149

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 51

Therefore, GCD of 650, 520, 745, 160 is 5.

Steps to Calculate GCD of 650, 520, 745, 160 using LCM Formula

Given numbers are 650, 520, 745, 160

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

Apply this formula for all numbers.

Step1:

LCM(650, 520) = 2600

GCD(650, 520) = ( 650 x 520 ) / 2600

= 650 / 520

= 650


Step2:

LCM(130, 745) = 19370

GCD(130, 745) = ( 130 x 745 ) / 19370

= 130 / 745

= 130


Step3:

LCM(5, 160) = 160

GCD(5, 160) = ( 5 x 160 ) / 160

= 5 / 160

= 5


So, Greatest Common Divisor of 650, 520, 745, 160 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 650, 520, 745, 160

Given numbers are 650, 520, 745, 160
The greatest common divisor of numbers 650, 520, 745, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 520, 745, 160 is 5.

FAQs on GCD of 650, 520, 745, 160 Calculator

1. What is the GCD of 650, 520, 745, 160?

GCD of given numbers 650, 520, 745, 160 is 5


2. How to calculate the greatest common divisor of 650, 520, 745, 160?

We can find the highest common divisor of 650, 520, 745, 160 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, 520, 745, 160 i.e 5.


3. How can I use the GCD of 650, 520, 745, 160Calculator?

Out the numbers 650, 520, 745, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.