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GCD of 700, 714, 159, 752 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, 714, 159, 752 quickly. Get the easiest ways to solve the greatest common divisor of 700, 714, 159, 752 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 714, 159, 752 with Factoring?

Given Input numbers are 700, 714, 159, 752

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752


GCD of numbers is the greatest common divisor

So, the GCD (700, 714, 159, 752) = 1.

Find GCD of 700, 714, 159, 752 using Prime Factorization

Given numbers are 700, 714, 159, 752

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 714 are 2 x 3 x 7 x 17

Prime factors of 159 are 3 x 53

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Steps to Calculate GCD of 700, 714, 159, 752 using LCM Formula

Given numbers are 700, 714, 159, 752

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

Apply this formula for all numbers.

Step1:

LCM(700, 714) = 35700

GCD(700, 714) = ( 700 x 714 ) / 35700

= 700 / 714

= 700


Step2:

LCM(14, 159) = 2226

GCD(14, 159) = ( 14 x 159 ) / 2226

= 14 / 159

= 14


Step3:

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

= 1 / 752

= 1


So, Greatest Common Divisor of 700, 714, 159, 752 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 714, 159, 752

Given numbers are 700, 714, 159, 752
The greatest common divisor of numbers 700, 714, 159, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 714, 159, 752 is 1.

FAQs on GCD of 700, 714, 159, 752 Calculator

1. What is the GCD of 700, 714, 159, 752?

GCD of given numbers 700, 714, 159, 752 is 1


2. How to calculate the greatest common divisor of 700, 714, 159, 752?

We can find the highest common divisor of 700, 714, 159, 752 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, 714, 159, 752 i.e 1.


3. How can I use the GCD of 700, 714, 159, 752Calculator?

Out the numbers 700, 714, 159, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.