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GCD of 758, 834, 224, 120 Calculator

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


Online GCD Calculator is useful to find the GCD of 758, 834, 224, 120 quickly. Get the easiest ways to solve the greatest common divisor of 758, 834, 224, 120 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 758, 834, 224, 120 with Factoring?

Given Input numbers are 758, 834, 224, 120

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120


GCD of numbers is the greatest common divisor

So, the GCD (758, 834, 224, 120) = 2.

Find GCD of 758, 834, 224, 120 using Prime Factorization

Given numbers are 758, 834, 224, 120

The list of prime factors of all numbers are

Prime factors of 758 are 2 x 379

Prime factors of 834 are 2 x 3 x 139

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 758, 834, 224, 120 is 2.

Steps to Calculate GCD of 758, 834, 224, 120 using LCM Formula

Given numbers are 758, 834, 224, 120

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

Apply this formula for all numbers.

Step1:

LCM(758, 834) = 316086

GCD(758, 834) = ( 758 x 834 ) / 316086

= 758 / 834

= 758


Step2:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2


Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2


So, Greatest Common Divisor of 758, 834, 224, 120 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 758, 834, 224, 120

Given numbers are 758, 834, 224, 120
The greatest common divisor of numbers 758, 834, 224, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 834, 224, 120 is 2.

FAQs on GCD of 758, 834, 224, 120 Calculator

1. What is the GCD of 758, 834, 224, 120?

GCD of given numbers 758, 834, 224, 120 is 2


2. How to calculate the greatest common divisor of 758, 834, 224, 120?

We can find the highest common divisor of 758, 834, 224, 120 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 758, 834, 224, 120 i.e 2.


3. How can I use the GCD of 758, 834, 224, 120Calculator?

Out the numbers 758, 834, 224, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.