GCD of 948, 980, 904, 374 Calculator

Given Input numbers are 948, 980, 904, 374

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (948, 980, 904, 374) = 2.

Given numbers are 948, 980, 904, 374

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 948, 980, 904, 374 is 2.

Given numbers are 948, 980, 904, 374

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

Apply this formula for all numbers.

Step1:

LCM(948, 980) = 232260

GCD(948, 980) = ( 948 x 980 ) / 232260

= 948 / 980

= 948

Step2:

LCM(4, 904) = 904

GCD(4, 904) = ( 4 x 904 ) / 904

= 4 / 904

= 4

Step3:

LCM(4, 374) = 748

GCD(4, 374) = ( 4 x 374 ) / 748

= 4 / 374

= 4

So, Greatest Common Divisor of 948, 980, 904, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 209, 720, 339
• GCD of 387, 900, 760, 707
• GCD of 690, 738, 621, 508
• GCD of 417, 913, 396, 250
• GCD of 450, 862, 730, 761

Given numbers are 948, 980, 904, 374
The greatest common divisor of numbers 948, 980, 904, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 980, 904, 374 is 2.

1. What is the GCD of 948, 980, 904, 374?

GCD of given numbers 948, 980, 904, 374 is 2

2. How to calculate the greatest common divisor of 948, 980, 904, 374?

We can find the highest common divisor of 948, 980, 904, 374 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 948, 980, 904, 374 i.e 2.

3. How can I use the GCD of 948, 980, 904, 374Calculator?

Out the numbers 948, 980, 904, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.