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GCD of 742, 720, 950, 210 Calculator

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


Online GCD Calculator is useful to find the GCD of 742, 720, 950, 210 quickly. Get the easiest ways to solve the greatest common divisor of 742, 720, 950, 210 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 720, 950, 210 with Factoring?

Given Input numbers are 742, 720, 950, 210

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210


GCD of numbers is the greatest common divisor

So, the GCD (742, 720, 950, 210) = 2.

Find GCD of 742, 720, 950, 210 using Prime Factorization

Given numbers are 742, 720, 950, 210

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 210 are 2 x 3 x 5 x 7

The highest common occurrence is 21

Therefore, GCD of 742, 720, 950, 210 is 2.

Steps to Calculate GCD of 742, 720, 950, 210 using LCM Formula

Given numbers are 742, 720, 950, 210

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

Apply this formula for all numbers.

Step1:

LCM(742, 720) = 267120

GCD(742, 720) = ( 742 x 720 ) / 267120

= 742 / 720

= 742


Step2:

LCM(2, 950) = 950

GCD(2, 950) = ( 2 x 950 ) / 950

= 2 / 950

= 2


Step3:

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

= 2 / 210

= 2


So, Greatest Common Divisor of 742, 720, 950, 210 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 720, 950, 210

Given numbers are 742, 720, 950, 210
The greatest common divisor of numbers 742, 720, 950, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 720, 950, 210 is 2.

FAQs on GCD of 742, 720, 950, 210 Calculator

1. What is the GCD of 742, 720, 950, 210?

GCD of given numbers 742, 720, 950, 210 is 2


2. How to calculate the greatest common divisor of 742, 720, 950, 210?

We can find the highest common divisor of 742, 720, 950, 210 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 742, 720, 950, 210 i.e 2.


3. How can I use the GCD of 742, 720, 950, 210Calculator?

Out the numbers 742, 720, 950, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.