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GCD of 625, 245, 260, 150 Calculator

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


Online GCD Calculator is useful to find the GCD of 625, 245, 260, 150 quickly. Get the easiest ways to solve the greatest common divisor of 625, 245, 260, 150 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 625, 245, 260, 150 with Factoring?

Given Input numbers are 625, 245, 260, 150

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

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150


GCD of numbers is the greatest common divisor

So, the GCD (625, 245, 260, 150) = 5.

Find GCD of 625, 245, 260, 150 using Prime Factorization

Given numbers are 625, 245, 260, 150

The list of prime factors of all numbers are

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 245 are 5 x 7 x 7

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 150 are 2 x 3 x 5 x 5

The highest common occurrence is 51

Therefore, GCD of 625, 245, 260, 150 is 5.

Steps to Calculate GCD of 625, 245, 260, 150 using LCM Formula

Given numbers are 625, 245, 260, 150

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

Apply this formula for all numbers.

Step1:

LCM(625, 245) = 30625

GCD(625, 245) = ( 625 x 245 ) / 30625

= 625 / 245

= 625


Step2:

LCM(5, 260) = 260

GCD(5, 260) = ( 5 x 260 ) / 260

= 5 / 260

= 5


Step3:

LCM(5, 150) = 150

GCD(5, 150) = ( 5 x 150 ) / 150

= 5 / 150

= 5


So, Greatest Common Divisor of 625, 245, 260, 150 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 625, 245, 260, 150

Given numbers are 625, 245, 260, 150
The greatest common divisor of numbers 625, 245, 260, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 625, 245, 260, 150 is 5.

FAQs on GCD of 625, 245, 260, 150 Calculator

1. What is the GCD of 625, 245, 260, 150?

GCD of given numbers 625, 245, 260, 150 is 5


2. How to calculate the greatest common divisor of 625, 245, 260, 150?

We can find the highest common divisor of 625, 245, 260, 150 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 625, 245, 260, 150 i.e 5.


3. How can I use the GCD of 625, 245, 260, 150Calculator?

Out the numbers 625, 245, 260, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.