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GCD of 770, 410, 310, 425 Calculator

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


Online GCD Calculator is useful to find the GCD of 770, 410, 310, 425 quickly. Get the easiest ways to solve the greatest common divisor of 770, 410, 310, 425 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 770, 410, 310, 425 with Factoring?

Given Input numbers are 770, 410, 310, 425

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

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 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425


GCD of numbers is the greatest common divisor

So, the GCD (770, 410, 310, 425) = 5.

Find GCD of 770, 410, 310, 425 using Prime Factorization

Given numbers are 770, 410, 310, 425

The list of prime factors of all numbers are

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

Prime factors of 410 are 2 x 5 x 41

Prime factors of 310 are 2 x 5 x 31

Prime factors of 425 are 5 x 5 x 17

The highest common occurrence is 51

Therefore, GCD of 770, 410, 310, 425 is 5.

Steps to Calculate GCD of 770, 410, 310, 425 using LCM Formula

Given numbers are 770, 410, 310, 425

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

Apply this formula for all numbers.

Step1:

LCM(770, 410) = 31570

GCD(770, 410) = ( 770 x 410 ) / 31570

= 770 / 410

= 770


Step2:

LCM(10, 310) = 310

GCD(10, 310) = ( 10 x 310 ) / 310

= 10 / 310

= 10


Step3:

LCM(10, 425) = 850

GCD(10, 425) = ( 10 x 425 ) / 850

= 10 / 425

= 10


So, Greatest Common Divisor of 770, 410, 310, 425 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 770, 410, 310, 425

Given numbers are 770, 410, 310, 425
The greatest common divisor of numbers 770, 410, 310, 425 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 410, 310, 425 is 5.

FAQs on GCD of 770, 410, 310, 425 Calculator

1. What is the GCD of 770, 410, 310, 425?

GCD of given numbers 770, 410, 310, 425 is 5


2. How to calculate the greatest common divisor of 770, 410, 310, 425?

We can find the highest common divisor of 770, 410, 310, 425 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 770, 410, 310, 425 i.e 5.


3. How can I use the GCD of 770, 410, 310, 425Calculator?

Out the numbers 770, 410, 310, 425 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.