GCD of 434, 490, 21, 840 Calculator

Given Input numbers are 434, 490, 21, 840

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

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

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 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (434, 490, 21, 840) = 7.

Given numbers are 434, 490, 21, 840

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 21 are 3 x 7

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 7¹

Therefore, GCD of 434, 490, 21, 840 is 7.

Given numbers are 434, 490, 21, 840

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

Apply this formula for all numbers.

Step1:

LCM(434, 490) = 15190

GCD(434, 490) = ( 434 x 490 ) / 15190

= 434 / 490

= 434

Step2:

LCM(14, 21) = 42

GCD(14, 21) = ( 14 x 21 ) / 42

= 14 / 21

= 14

Step3:

LCM(7, 840) = 840

GCD(7, 840) = ( 7 x 840 ) / 840

= 7 / 840

= 7

So, Greatest Common Divisor of 434, 490, 21, 840 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 952, 73, 500
• GCD of 492, 776, 25, 293
• GCD of 469, 643, 24, 827
• GCD of 164, 257, 27, 445
• GCD of 863, 783, 47, 488

Given numbers are 434, 490, 21, 840
The greatest common divisor of numbers 434, 490, 21, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 490, 21, 840 is 7.

1. What is the GCD of 434, 490, 21, 840?

GCD of given numbers 434, 490, 21, 840 is 7

2. How to calculate the greatest common divisor of 434, 490, 21, 840?

We can find the highest common divisor of 434, 490, 21, 840 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 434, 490, 21, 840 i.e 7.

3. How can I use the GCD of 434, 490, 21, 840Calculator?

Out the numbers 434, 490, 21, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.