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GCD of 140, 698, 625, 734 Calculator

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


Online GCD Calculator is useful to find the GCD of 140, 698, 625, 734 quickly. Get the easiest ways to solve the greatest common divisor of 140, 698, 625, 734 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 140, 698, 625, 734 with Factoring?

Given Input numbers are 140, 698, 625, 734

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734


GCD of numbers is the greatest common divisor

So, the GCD (140, 698, 625, 734) = 1.

Find GCD of 140, 698, 625, 734 using Prime Factorization

Given numbers are 140, 698, 625, 734

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 698 are 2 x 349

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 734 are 2 x 367

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

Steps to Calculate GCD of 140, 698, 625, 734 using LCM Formula

Given numbers are 140, 698, 625, 734

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

Apply this formula for all numbers.

Step1:

LCM(140, 698) = 48860

GCD(140, 698) = ( 140 x 698 ) / 48860

= 140 / 698

= 140


Step2:

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

= 2 / 625

= 2


Step3:

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

= 1 / 734

= 1


So, Greatest Common Divisor of 140, 698, 625, 734 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 140, 698, 625, 734

Given numbers are 140, 698, 625, 734
The greatest common divisor of numbers 140, 698, 625, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 698, 625, 734 is 1.

FAQs on GCD of 140, 698, 625, 734 Calculator

1. What is the GCD of 140, 698, 625, 734?

GCD of given numbers 140, 698, 625, 734 is 1


2. How to calculate the greatest common divisor of 140, 698, 625, 734?

We can find the highest common divisor of 140, 698, 625, 734 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 140, 698, 625, 734 i.e 1.


3. How can I use the GCD of 140, 698, 625, 734Calculator?

Out the numbers 140, 698, 625, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.