GCD of 120, 584, 147, 698 Calculator

Given Input numbers are 120, 584, 147, 698

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 147 :

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

1, 3, 7, 21, 49, 147

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (120, 584, 147, 698) = 1.

Given numbers are 120, 584, 147, 698

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 584 are 2 x 2 x 2 x 73

Prime factors of 147 are 3 x 7 x 7

Prime factors of 698 are 2 x 349

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

Given numbers are 120, 584, 147, 698

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

Apply this formula for all numbers.

Step1:

LCM(120, 584) = 8760

GCD(120, 584) = ( 120 x 584 ) / 8760

= 120 / 584

= 120

Step2:

LCM(8, 147) = 1176

GCD(8, 147) = ( 8 x 147 ) / 1176

= 8 / 147

= 8

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 120, 584, 147, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 216, 503, 275
• GCD of 876, 706, 213, 847
• GCD of 824, 913, 325, 646
• GCD of 998, 991, 217, 266
• GCD of 397, 475, 699, 410

Given numbers are 120, 584, 147, 698
The greatest common divisor of numbers 120, 584, 147, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 584, 147, 698 is 1.

1. What is the GCD of 120, 584, 147, 698?

GCD of given numbers 120, 584, 147, 698 is 1

2. How to calculate the greatest common divisor of 120, 584, 147, 698?

We can find the highest common divisor of 120, 584, 147, 698 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, 584, 147, 698 i.e 1.

3. How can I use the GCD of 120, 584, 147, 698Calculator?

Out the numbers 120, 584, 147, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.