GCD of 120, 147, 689, 202 Calculator

Given Input numbers are 120, 147, 689, 202

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

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

GCD of numbers is the greatest common divisor

So, the GCD (120, 147, 689, 202) = 1.

Given numbers are 120, 147, 689, 202

The list of prime factors of all numbers are

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

Prime factors of 147 are 3 x 7 x 7

Prime factors of 689 are 13 x 53

Prime factors of 202 are 2 x 101

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

Given numbers are 120, 147, 689, 202

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

Apply this formula for all numbers.

Step1:

LCM(120, 147) = 5880

GCD(120, 147) = ( 120 x 147 ) / 5880

= 120 / 147

= 120

Step2:

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

= 3 / 689

= 3

Step3:

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

= 1 / 202

= 1

So, Greatest Common Divisor of 120, 147, 689, 202 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 185, 826, 720
• GCD of 264, 511, 689, 775
• GCD of 717, 562, 631, 672
• GCD of 236, 879, 589, 397
• GCD of 484, 352, 836, 865

Given numbers are 120, 147, 689, 202
The greatest common divisor of numbers 120, 147, 689, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 147, 689, 202 is 1.

1. What is the GCD of 120, 147, 689, 202?

GCD of given numbers 120, 147, 689, 202 is 1

2. How to calculate the greatest common divisor of 120, 147, 689, 202?

We can find the highest common divisor of 120, 147, 689, 202 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 120, 147, 689, 202 i.e 1.

3. How can I use the GCD of 120, 147, 689, 202Calculator?

Out the numbers 120, 147, 689, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.