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GCD of 350, 736, 862, 616 Calculator

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


Online GCD Calculator is useful to find the GCD of 350, 736, 862, 616 quickly. Get the easiest ways to solve the greatest common divisor of 350, 736, 862, 616 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 350, 736, 862, 616 with Factoring?

Given Input numbers are 350, 736, 862, 616

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616


GCD of numbers is the greatest common divisor

So, the GCD (350, 736, 862, 616) = 2.

Find GCD of 350, 736, 862, 616 using Prime Factorization

Given numbers are 350, 736, 862, 616

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 862 are 2 x 431

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 21

Therefore, GCD of 350, 736, 862, 616 is 2.

Steps to Calculate GCD of 350, 736, 862, 616 using LCM Formula

Given numbers are 350, 736, 862, 616

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

Apply this formula for all numbers.

Step1:

LCM(350, 736) = 128800

GCD(350, 736) = ( 350 x 736 ) / 128800

= 350 / 736

= 350


Step2:

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

= 2 / 862

= 2


Step3:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2


So, Greatest Common Divisor of 350, 736, 862, 616 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 350, 736, 862, 616

Given numbers are 350, 736, 862, 616
The greatest common divisor of numbers 350, 736, 862, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 736, 862, 616 is 2.

FAQs on GCD of 350, 736, 862, 616 Calculator

1. What is the GCD of 350, 736, 862, 616?

GCD of given numbers 350, 736, 862, 616 is 2


2. How to calculate the greatest common divisor of 350, 736, 862, 616?

We can find the highest common divisor of 350, 736, 862, 616 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 350, 736, 862, 616 i.e 2.


3. How can I use the GCD of 350, 736, 862, 616Calculator?

Out the numbers 350, 736, 862, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.