LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 678, 876, 101, 240 Calculator

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


Online GCD Calculator is useful to find the GCD of 678, 876, 101, 240 quickly. Get the easiest ways to solve the greatest common divisor of 678, 876, 101, 240 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 678, 876, 101, 240 with Factoring?

Given Input numbers are 678, 876, 101, 240

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

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


GCD of numbers is the greatest common divisor

So, the GCD (678, 876, 101, 240) = 1.

Find GCD of 678, 876, 101, 240 using Prime Factorization

Given numbers are 678, 876, 101, 240

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 101 are 101

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

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

Steps to Calculate GCD of 678, 876, 101, 240 using LCM Formula

Given numbers are 678, 876, 101, 240

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

Apply this formula for all numbers.

Step1:

LCM(678, 876) = 98988

GCD(678, 876) = ( 678 x 876 ) / 98988

= 678 / 876

= 678


Step2:

LCM(6, 101) = 606

GCD(6, 101) = ( 6 x 101 ) / 606

= 6 / 101

= 6


Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1


So, Greatest Common Divisor of 678, 876, 101, 240 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 678, 876, 101, 240

Given numbers are 678, 876, 101, 240
The greatest common divisor of numbers 678, 876, 101, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 876, 101, 240 is 1.

FAQs on GCD of 678, 876, 101, 240 Calculator

1. What is the GCD of 678, 876, 101, 240?

GCD of given numbers 678, 876, 101, 240 is 1


2. How to calculate the greatest common divisor of 678, 876, 101, 240?

We can find the highest common divisor of 678, 876, 101, 240 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 678, 876, 101, 240 i.e 1.


3. How can I use the GCD of 678, 876, 101, 240Calculator?

Out the numbers 678, 876, 101, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.