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GCD of 224, 661, 120, 965 Calculator

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


Online GCD Calculator is useful to find the GCD of 224, 661, 120, 965 quickly. Get the easiest ways to solve the greatest common divisor of 224, 661, 120, 965 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 224, 661, 120, 965 with Factoring?

Given Input numbers are 224, 661, 120, 965

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965


GCD of numbers is the greatest common divisor

So, the GCD (224, 661, 120, 965) = 1.

Find GCD of 224, 661, 120, 965 using Prime Factorization

Given numbers are 224, 661, 120, 965

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 661 are 661

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 965 are 5 x 193

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

Steps to Calculate GCD of 224, 661, 120, 965 using LCM Formula

Given numbers are 224, 661, 120, 965

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

Apply this formula for all numbers.

Step1:

LCM(224, 661) = 148064

GCD(224, 661) = ( 224 x 661 ) / 148064

= 224 / 661

= 224


Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


Step3:

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

= 1 / 965

= 1


So, Greatest Common Divisor of 224, 661, 120, 965 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 224, 661, 120, 965

Given numbers are 224, 661, 120, 965
The greatest common divisor of numbers 224, 661, 120, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 661, 120, 965 is 1.

FAQs on GCD of 224, 661, 120, 965 Calculator

1. What is the GCD of 224, 661, 120, 965?

GCD of given numbers 224, 661, 120, 965 is 1


2. How to calculate the greatest common divisor of 224, 661, 120, 965?

We can find the highest common divisor of 224, 661, 120, 965 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 224, 661, 120, 965 i.e 1.


3. How can I use the GCD of 224, 661, 120, 965Calculator?

Out the numbers 224, 661, 120, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.