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GCD of 762, 802, 608, 998 Calculator

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


Online GCD Calculator is useful to find the GCD of 762, 802, 608, 998 quickly. Get the easiest ways to solve the greatest common divisor of 762, 802, 608, 998 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 762, 802, 608, 998 with Factoring?

Given Input numbers are 762, 802, 608, 998

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998


GCD of numbers is the greatest common divisor

So, the GCD (762, 802, 608, 998) = 2.

Find GCD of 762, 802, 608, 998 using Prime Factorization

Given numbers are 762, 802, 608, 998

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 802 are 2 x 401

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 998 are 2 x 499

The highest common occurrence is 21

Therefore, GCD of 762, 802, 608, 998 is 2.

Steps to Calculate GCD of 762, 802, 608, 998 using LCM Formula

Given numbers are 762, 802, 608, 998

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

Apply this formula for all numbers.

Step1:

LCM(762, 802) = 305562

GCD(762, 802) = ( 762 x 802 ) / 305562

= 762 / 802

= 762


Step2:

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

= 2 / 608

= 2


Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2


So, Greatest Common Divisor of 762, 802, 608, 998 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 762, 802, 608, 998

Given numbers are 762, 802, 608, 998
The greatest common divisor of numbers 762, 802, 608, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 802, 608, 998 is 2.

FAQs on GCD of 762, 802, 608, 998 Calculator

1. What is the GCD of 762, 802, 608, 998?

GCD of given numbers 762, 802, 608, 998 is 2


2. How to calculate the greatest common divisor of 762, 802, 608, 998?

We can find the highest common divisor of 762, 802, 608, 998 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 762, 802, 608, 998 i.e 2.


3. How can I use the GCD of 762, 802, 608, 998Calculator?

Out the numbers 762, 802, 608, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.