GCD of 748, 994, 922, 840 Calculator

Given Input numbers are 748, 994, 922, 840

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

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 (748, 994, 922, 840) = 2.

Given numbers are 748, 994, 922, 840

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 994 are 2 x 7 x 71

Prime factors of 922 are 2 x 461

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

The highest common occurrence is 2¹

Therefore, GCD of 748, 994, 922, 840 is 2.

Given numbers are 748, 994, 922, 840

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

Apply this formula for all numbers.

Step1:

LCM(748, 994) = 371756

GCD(748, 994) = ( 748 x 994 ) / 371756

= 748 / 994

= 748

Step2:

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

= 2 / 922

= 2

Step3:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

So, Greatest Common Divisor of 748, 994, 922, 840 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 352, 332, 580
• GCD of 312, 981, 804, 914
• GCD of 931, 498, 573, 297
• GCD of 754, 743, 643, 132
• GCD of 914, 845, 126, 343

Given numbers are 748, 994, 922, 840
The greatest common divisor of numbers 748, 994, 922, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 994, 922, 840 is 2.

1. What is the GCD of 748, 994, 922, 840?

GCD of given numbers 748, 994, 922, 840 is 2

2. How to calculate the greatest common divisor of 748, 994, 922, 840?

We can find the highest common divisor of 748, 994, 922, 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 748, 994, 922, 840 i.e 2.

3. How can I use the GCD of 748, 994, 922, 840Calculator?

Out the numbers 748, 994, 922, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.