GCD of 374, 705, 632, 420 Calculator

Given Input numbers are 374, 705, 632, 420

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (374, 705, 632, 420) = 1.

Given numbers are 374, 705, 632, 420

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 705 are 3 x 5 x 47

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 374, 705, 632, 420

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

Apply this formula for all numbers.

Step1:

LCM(374, 705) = 263670

GCD(374, 705) = ( 374 x 705 ) / 263670

= 374 / 705

= 374

Step2:

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

= 1 / 632

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 374, 705, 632, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 398, 392, 454
• GCD of 919, 456, 423, 339
• GCD of 772, 754, 225, 496
• GCD of 718, 165, 274, 816
• GCD of 663, 719, 278, 417

Given numbers are 374, 705, 632, 420
The greatest common divisor of numbers 374, 705, 632, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 705, 632, 420 is 1.

1. What is the GCD of 374, 705, 632, 420?

GCD of given numbers 374, 705, 632, 420 is 1

2. How to calculate the greatest common divisor of 374, 705, 632, 420?

We can find the highest common divisor of 374, 705, 632, 420 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 374, 705, 632, 420 i.e 1.

3. How can I use the GCD of 374, 705, 632, 420Calculator?

Out the numbers 374, 705, 632, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.