GCD of 280, 348, 760, 420 Calculator

Given Input numbers are 280, 348, 760, 420

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 (280, 348, 760, 420) = 4.

Given numbers are 280, 348, 760, 420

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

The highest common occurrence is 2²

Therefore, GCD of 280, 348, 760, 420 is 4.

Given numbers are 280, 348, 760, 420

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

Apply this formula for all numbers.

Step1:

LCM(280, 348) = 24360

GCD(280, 348) = ( 280 x 348 ) / 24360

= 280 / 348

= 280

Step2:

LCM(4, 760) = 760

GCD(4, 760) = ( 4 x 760 ) / 760

= 4 / 760

= 4

Step3:

LCM(4, 420) = 420

GCD(4, 420) = ( 4 x 420 ) / 420

= 4 / 420

= 4

So, Greatest Common Divisor of 280, 348, 760, 420 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 529, 205, 261
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• GCD of 175, 719, 830, 640
• GCD of 486, 732, 890, 841
• GCD of 702, 499, 396, 995

Given numbers are 280, 348, 760, 420
The greatest common divisor of numbers 280, 348, 760, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 348, 760, 420 is 4.

1. What is the GCD of 280, 348, 760, 420?

GCD of given numbers 280, 348, 760, 420 is 4

2. How to calculate the greatest common divisor of 280, 348, 760, 420?

We can find the highest common divisor of 280, 348, 760, 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 280, 348, 760, 420 i.e 4.

3. How can I use the GCD of 280, 348, 760, 420Calculator?

Out the numbers 280, 348, 760, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.