GCD of 672, 870, 98, 782 Calculator

Given Input numbers are 672, 870, 98, 782

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 98 :

The positive integer divisors of 98 that completely divides 98 are.

1, 2, 7, 14, 49, 98

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (672, 870, 98, 782) = 2.

Given numbers are 672, 870, 98, 782

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 98 are 2 x 7 x 7

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 672, 870, 98, 782 is 2.

Given numbers are 672, 870, 98, 782

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

Apply this formula for all numbers.

Step1:

LCM(672, 870) = 97440

GCD(672, 870) = ( 672 x 870 ) / 97440

= 672 / 870

= 672

Step2:

LCM(6, 98) = 294

GCD(6, 98) = ( 6 x 98 ) / 294

= 6 / 98

= 6

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 672, 870, 98, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 803, 29, 219
• GCD of 872, 707, 20, 770
• GCD of 132, 560, 44, 257
• GCD of 509, 487, 58, 754
• GCD of 114, 367, 31, 117

Given numbers are 672, 870, 98, 782
The greatest common divisor of numbers 672, 870, 98, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 870, 98, 782 is 2.

1. What is the GCD of 672, 870, 98, 782?

GCD of given numbers 672, 870, 98, 782 is 2

2. How to calculate the greatest common divisor of 672, 870, 98, 782?

We can find the highest common divisor of 672, 870, 98, 782 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 672, 870, 98, 782 i.e 2.

3. How can I use the GCD of 672, 870, 98, 782Calculator?

Out the numbers 672, 870, 98, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.