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GCD of 240, 762, 148, 275 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 762, 148, 275 quickly. Get the easiest ways to solve the greatest common divisor of 240, 762, 148, 275 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 762, 148, 275 with Factoring?

Given Input numbers are 240, 762, 148, 275

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 762 :

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

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275


GCD of numbers is the greatest common divisor

So, the GCD (240, 762, 148, 275) = 1.

Find GCD of 240, 762, 148, 275 using Prime Factorization

Given numbers are 240, 762, 148, 275

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 762 are 2 x 3 x 127

Prime factors of 148 are 2 x 2 x 37

Prime factors of 275 are 5 x 5 x 11

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

Steps to Calculate GCD of 240, 762, 148, 275 using LCM Formula

Given numbers are 240, 762, 148, 275

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

Apply this formula for all numbers.

Step1:

LCM(240, 762) = 30480

GCD(240, 762) = ( 240 x 762 ) / 30480

= 240 / 762

= 240


Step2:

LCM(6, 148) = 444

GCD(6, 148) = ( 6 x 148 ) / 444

= 6 / 148

= 6


Step3:

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

= 2 / 275

= 2


So, Greatest Common Divisor of 240, 762, 148, 275 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 762, 148, 275

Given numbers are 240, 762, 148, 275
The greatest common divisor of numbers 240, 762, 148, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 762, 148, 275 is 1.

FAQs on GCD of 240, 762, 148, 275 Calculator

1. What is the GCD of 240, 762, 148, 275?

GCD of given numbers 240, 762, 148, 275 is 1


2. How to calculate the greatest common divisor of 240, 762, 148, 275?

We can find the highest common divisor of 240, 762, 148, 275 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 240, 762, 148, 275 i.e 1.


3. How can I use the GCD of 240, 762, 148, 275Calculator?

Out the numbers 240, 762, 148, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.