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GCD of 750, 910, 130, 434 Calculator

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


Online GCD Calculator is useful to find the GCD of 750, 910, 130, 434 quickly. Get the easiest ways to solve the greatest common divisor of 750, 910, 130, 434 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 750, 910, 130, 434 with Factoring?

Given Input numbers are 750, 910, 130, 434

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

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 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434


GCD of numbers is the greatest common divisor

So, the GCD (750, 910, 130, 434) = 2.

Find GCD of 750, 910, 130, 434 using Prime Factorization

Given numbers are 750, 910, 130, 434

The list of prime factors of all numbers are

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

Prime factors of 910 are 2 x 5 x 7 x 13

Prime factors of 130 are 2 x 5 x 13

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 21

Therefore, GCD of 750, 910, 130, 434 is 2.

Steps to Calculate GCD of 750, 910, 130, 434 using LCM Formula

Given numbers are 750, 910, 130, 434

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

Apply this formula for all numbers.

Step1:

LCM(750, 910) = 68250

GCD(750, 910) = ( 750 x 910 ) / 68250

= 750 / 910

= 750


Step2:

LCM(10, 130) = 130

GCD(10, 130) = ( 10 x 130 ) / 130

= 10 / 130

= 10


Step3:

LCM(10, 434) = 2170

GCD(10, 434) = ( 10 x 434 ) / 2170

= 10 / 434

= 10


So, Greatest Common Divisor of 750, 910, 130, 434 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 750, 910, 130, 434

Given numbers are 750, 910, 130, 434
The greatest common divisor of numbers 750, 910, 130, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 910, 130, 434 is 2.

FAQs on GCD of 750, 910, 130, 434 Calculator

1. What is the GCD of 750, 910, 130, 434?

GCD of given numbers 750, 910, 130, 434 is 2


2. How to calculate the greatest common divisor of 750, 910, 130, 434?

We can find the highest common divisor of 750, 910, 130, 434 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 750, 910, 130, 434 i.e 2.


3. How can I use the GCD of 750, 910, 130, 434Calculator?

Out the numbers 750, 910, 130, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.