GCD of 398, 378, 480, 140 Calculator

Given Input numbers are 398, 378, 480, 140

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (398, 378, 480, 140) = 2.

Given numbers are 398, 378, 480, 140

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 398, 378, 480, 140 is 2.

Given numbers are 398, 378, 480, 140

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

Apply this formula for all numbers.

Step1:

LCM(398, 378) = 75222

GCD(398, 378) = ( 398 x 378 ) / 75222

= 398 / 378

= 398

Step2:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 398, 378, 480, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 180, 914, 951
• GCD of 142, 831, 754, 429
• GCD of 561, 866, 798, 716
• GCD of 238, 795, 785, 956
• GCD of 497, 709, 215, 931

Given numbers are 398, 378, 480, 140
The greatest common divisor of numbers 398, 378, 480, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 378, 480, 140 is 2.

1. What is the GCD of 398, 378, 480, 140?

GCD of given numbers 398, 378, 480, 140 is 2

2. How to calculate the greatest common divisor of 398, 378, 480, 140?

We can find the highest common divisor of 398, 378, 480, 140 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 398, 378, 480, 140 i.e 2.

3. How can I use the GCD of 398, 378, 480, 140Calculator?

Out the numbers 398, 378, 480, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.