GCD of 448, 490, 63 Calculator

Given Input numbers are 448, 490, 63

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 63 :

The positive integer divisors of 63 that completely divides 63 are.

1, 3, 7, 9, 21, 63

GCD of numbers is the greatest common divisor

So, the GCD (448, 490, 63) = 7.

Given numbers are 448, 490, 63

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 490 are 2 x 5 x 7 x 7

Prime factors of 63 are 3 x 3 x 7

The highest common occurrence is 7¹

Therefore, GCD of 448, 490, 63 is 7.

Given numbers are 448, 490, 63

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

Apply this formula for all numbers.

Step1:

LCM(448, 490) = 15680

GCD(448, 490) = ( 448 x 490 ) / 15680

= 448 / 490

= 448

Step2:

LCM(14, 63) = 126

GCD(14, 63) = ( 14 x 63 ) / 126

= 14 / 63

= 14

So, Greatest Common Divisor of 448, 490, 63 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 604, 46
• GCD of 597, 989, 39
• GCD of 524, 898, 97
• GCD of 855, 570, 53
• GCD of 971, 314, 13

Given numbers are 448, 490, 63
The greatest common divisor of numbers 448, 490, 63 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 490, 63 is 7.

1. What is the GCD of 448, 490, 63?

GCD of given numbers 448, 490, 63 is 7

2. How to calculate the greatest common divisor of 448, 490, 63?

We can find the highest common divisor of 448, 490, 63 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, 490, 63 i.e 7.

3. How can I use the GCD of 448, 490, 63Calculator?

Out the numbers 448, 490, 63 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.