GCD of 614, 147, 700, 120 Calculator

Given Input numbers are 614, 147, 700, 120

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 147 :

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

1, 3, 7, 21, 49, 147

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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

GCD of numbers is the greatest common divisor

So, the GCD (614, 147, 700, 120) = 1.

Given numbers are 614, 147, 700, 120

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 147 are 3 x 7 x 7

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

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

Given numbers are 614, 147, 700, 120

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

Apply this formula for all numbers.

Step1:

LCM(614, 147) = 90258

GCD(614, 147) = ( 614 x 147 ) / 90258

= 614 / 147

= 614

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 614, 147, 700, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 198, 445, 997
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• GCD of 757, 443, 331, 517

Given numbers are 614, 147, 700, 120
The greatest common divisor of numbers 614, 147, 700, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 147, 700, 120 is 1.

1. What is the GCD of 614, 147, 700, 120?

GCD of given numbers 614, 147, 700, 120 is 1

2. How to calculate the greatest common divisor of 614, 147, 700, 120?

We can find the highest common divisor of 614, 147, 700, 120 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 614, 147, 700, 120 i.e 1.

3. How can I use the GCD of 614, 147, 700, 120Calculator?

Out the numbers 614, 147, 700, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.