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GCD of 700, 774, 125, 698 Calculator

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


Online GCD Calculator is useful to find the GCD of 700, 774, 125, 698 quickly. Get the easiest ways to solve the greatest common divisor of 700, 774, 125, 698 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 774, 125, 698 with Factoring?

Given Input numbers are 700, 774, 125, 698

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698


GCD of numbers is the greatest common divisor

So, the GCD (700, 774, 125, 698) = 1.

Find GCD of 700, 774, 125, 698 using Prime Factorization

Given numbers are 700, 774, 125, 698

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 125 are 5 x 5 x 5

Prime factors of 698 are 2 x 349

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 700, 774, 125, 698 using LCM Formula

Given numbers are 700, 774, 125, 698

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

Apply this formula for all numbers.

Step1:

LCM(700, 774) = 270900

GCD(700, 774) = ( 700 x 774 ) / 270900

= 700 / 774

= 700


Step2:

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

= 2 / 125

= 2


Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1


So, Greatest Common Divisor of 700, 774, 125, 698 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 774, 125, 698

Given numbers are 700, 774, 125, 698
The greatest common divisor of numbers 700, 774, 125, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 774, 125, 698 is 1.

FAQs on GCD of 700, 774, 125, 698 Calculator

1. What is the GCD of 700, 774, 125, 698?

GCD of given numbers 700, 774, 125, 698 is 1


2. How to calculate the greatest common divisor of 700, 774, 125, 698?

We can find the highest common divisor of 700, 774, 125, 698 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 700, 774, 125, 698 i.e 1.


3. How can I use the GCD of 700, 774, 125, 698Calculator?

Out the numbers 700, 774, 125, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.