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GCD of 245, 145, 910, 700 Calculator

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


Online GCD Calculator is useful to find the GCD of 245, 145, 910, 700 quickly. Get the easiest ways to solve the greatest common divisor of 245, 145, 910, 700 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 245, 145, 910, 700 with Factoring?

Given Input numbers are 245, 145, 910, 700

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

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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


GCD of numbers is the greatest common divisor

So, the GCD (245, 145, 910, 700) = 5.

Find GCD of 245, 145, 910, 700 using Prime Factorization

Given numbers are 245, 145, 910, 700

The list of prime factors of all numbers are

Prime factors of 245 are 5 x 7 x 7

Prime factors of 145 are 5 x 29

Prime factors of 910 are 2 x 5 x 7 x 13

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

The highest common occurrence is 51

Therefore, GCD of 245, 145, 910, 700 is 5.

Steps to Calculate GCD of 245, 145, 910, 700 using LCM Formula

Given numbers are 245, 145, 910, 700

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

Apply this formula for all numbers.

Step1:

LCM(245, 145) = 7105

GCD(245, 145) = ( 245 x 145 ) / 7105

= 245 / 145

= 245


Step2:

LCM(5, 910) = 910

GCD(5, 910) = ( 5 x 910 ) / 910

= 5 / 910

= 5


Step3:

LCM(5, 700) = 700

GCD(5, 700) = ( 5 x 700 ) / 700

= 5 / 700

= 5


So, Greatest Common Divisor of 245, 145, 910, 700 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 245, 145, 910, 700

Given numbers are 245, 145, 910, 700
The greatest common divisor of numbers 245, 145, 910, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 245, 145, 910, 700 is 5.

FAQs on GCD of 245, 145, 910, 700 Calculator

1. What is the GCD of 245, 145, 910, 700?

GCD of given numbers 245, 145, 910, 700 is 5


2. How to calculate the greatest common divisor of 245, 145, 910, 700?

We can find the highest common divisor of 245, 145, 910, 700 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 245, 145, 910, 700 i.e 5.


3. How can I use the GCD of 245, 145, 910, 700Calculator?

Out the numbers 245, 145, 910, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.