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GCD of 850, 760, 890 Calculator

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


Online GCD Calculator is useful to find the GCD of 850, 760, 890 quickly. Get the easiest ways to solve the greatest common divisor of 850, 760, 890 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 850, 760, 890 with Factoring?

Given Input numbers are 850, 760, 890

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

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890


GCD of numbers is the greatest common divisor

So, the GCD (850, 760, 890) = 10.

Find GCD of 850, 760, 890 using Prime Factorization

Given numbers are 850, 760, 890

The list of prime factors of all numbers are

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 21 x 51

Therefore, GCD of 850, 760, 890 is 10.

Steps to Calculate GCD of 850, 760, 890 using LCM Formula

Given numbers are 850, 760, 890

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

Apply this formula for all numbers.

Step1:

LCM(850, 760) = 64600

GCD(850, 760) = ( 850 x 760 ) / 64600

= 850 / 760

= 850


Step2:

LCM(10, 890) = 890

GCD(10, 890) = ( 10 x 890 ) / 890

= 10 / 890

= 10


So, Greatest Common Divisor of 850, 760, 890 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 850, 760, 890

Given numbers are 850, 760, 890
The greatest common divisor of numbers 850, 760, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 760, 890 is 10.

FAQs on GCD of 850, 760, 890 Calculator

1. What is the GCD of 850, 760, 890?

GCD of given numbers 850, 760, 890 is 10


2. How to calculate the greatest common divisor of 850, 760, 890?

We can find the highest common divisor of 850, 760, 890 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 850, 760, 890 i.e 10.


3. How can I use the GCD of 850, 760, 890Calculator?

Out the numbers 850, 760, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.