GCD of 448, 700, 400, 260 Calculator

Given Input numbers are 448, 700, 400, 260

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

GCD of numbers is the greatest common divisor

So, the GCD (448, 700, 400, 260) = 4.

Given numbers are 448, 700, 400, 260

The list of prime factors of all numbers are

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 260 are 2 x 2 x 5 x 13

The highest common occurrence is 2²

Therefore, GCD of 448, 700, 400, 260 is 4.

Given numbers are 448, 700, 400, 260

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

Apply this formula for all numbers.

Step1:

LCM(448, 700) = 11200

GCD(448, 700) = ( 448 x 700 ) / 11200

= 448 / 700

= 448

Step2:

LCM(28, 400) = 2800

GCD(28, 400) = ( 28 x 400 ) / 2800

= 28 / 400

= 28

Step3:

LCM(4, 260) = 260

GCD(4, 260) = ( 4 x 260 ) / 260

= 4 / 260

= 4

So, Greatest Common Divisor of 448, 700, 400, 260 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 422, 111, 496
• GCD of 278, 900, 796, 615
• GCD of 391, 626, 134, 583
• GCD of 261, 600, 836, 382
• GCD of 536, 491, 174, 508

Given numbers are 448, 700, 400, 260
The greatest common divisor of numbers 448, 700, 400, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 700, 400, 260 is 4.

1. What is the GCD of 448, 700, 400, 260?

GCD of given numbers 448, 700, 400, 260 is 4

2. How to calculate the greatest common divisor of 448, 700, 400, 260?

We can find the highest common divisor of 448, 700, 400, 260 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 448, 700, 400, 260 i.e 4.

3. How can I use the GCD of 448, 700, 400, 260Calculator?

Out the numbers 448, 700, 400, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.