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GCD of 370, 760, 770, 474 Calculator

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


Online GCD Calculator is useful to find the GCD of 370, 760, 770, 474 quickly. Get the easiest ways to solve the greatest common divisor of 370, 760, 770, 474 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 760, 770, 474 with Factoring?

Given Input numbers are 370, 760, 770, 474

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

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 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474


GCD of numbers is the greatest common divisor

So, the GCD (370, 760, 770, 474) = 2.

Find GCD of 370, 760, 770, 474 using Prime Factorization

Given numbers are 370, 760, 770, 474

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

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

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 21

Therefore, GCD of 370, 760, 770, 474 is 2.

Steps to Calculate GCD of 370, 760, 770, 474 using LCM Formula

Given numbers are 370, 760, 770, 474

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

Apply this formula for all numbers.

Step1:

LCM(370, 760) = 28120

GCD(370, 760) = ( 370 x 760 ) / 28120

= 370 / 760

= 370


Step2:

LCM(10, 770) = 770

GCD(10, 770) = ( 10 x 770 ) / 770

= 10 / 770

= 10


Step3:

LCM(10, 474) = 2370

GCD(10, 474) = ( 10 x 474 ) / 2370

= 10 / 474

= 10


So, Greatest Common Divisor of 370, 760, 770, 474 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 760, 770, 474

Given numbers are 370, 760, 770, 474
The greatest common divisor of numbers 370, 760, 770, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 760, 770, 474 is 2.

FAQs on GCD of 370, 760, 770, 474 Calculator

1. What is the GCD of 370, 760, 770, 474?

GCD of given numbers 370, 760, 770, 474 is 2


2. How to calculate the greatest common divisor of 370, 760, 770, 474?

We can find the highest common divisor of 370, 760, 770, 474 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 370, 760, 770, 474 i.e 2.


3. How can I use the GCD of 370, 760, 770, 474Calculator?

Out the numbers 370, 760, 770, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.