LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 530, 750, 624, 268 Calculator

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


Online GCD Calculator is useful to find the GCD of 530, 750, 624, 268 quickly. Get the easiest ways to solve the greatest common divisor of 530, 750, 624, 268 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 530, 750, 624, 268 with Factoring?

Given Input numbers are 530, 750, 624, 268

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

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268


GCD of numbers is the greatest common divisor

So, the GCD (530, 750, 624, 268) = 2.

Find GCD of 530, 750, 624, 268 using Prime Factorization

Given numbers are 530, 750, 624, 268

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 21

Therefore, GCD of 530, 750, 624, 268 is 2.

Steps to Calculate GCD of 530, 750, 624, 268 using LCM Formula

Given numbers are 530, 750, 624, 268

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

Apply this formula for all numbers.

Step1:

LCM(530, 750) = 39750

GCD(530, 750) = ( 530 x 750 ) / 39750

= 530 / 750

= 530


Step2:

LCM(10, 624) = 3120

GCD(10, 624) = ( 10 x 624 ) / 3120

= 10 / 624

= 10


Step3:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2


So, Greatest Common Divisor of 530, 750, 624, 268 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 530, 750, 624, 268

Given numbers are 530, 750, 624, 268
The greatest common divisor of numbers 530, 750, 624, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 750, 624, 268 is 2.

FAQs on GCD of 530, 750, 624, 268 Calculator

1. What is the GCD of 530, 750, 624, 268?

GCD of given numbers 530, 750, 624, 268 is 2


2. How to calculate the greatest common divisor of 530, 750, 624, 268?

We can find the highest common divisor of 530, 750, 624, 268 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 530, 750, 624, 268 i.e 2.


3. How can I use the GCD of 530, 750, 624, 268Calculator?

Out the numbers 530, 750, 624, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.