Highest Common Factor of 808, 438, 804 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 808, 438, 804 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 808, 438, 804 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 808, 438, 804 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 808, 438, 804 is 2.

HCF(808, 438, 804) = 2

HCF of 808, 438, 804 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 808, 438, 804 is 2.

Highest Common Factor of 808,438,804 using Euclid's algorithm

Highest Common Factor of 808,438,804 is 2

Step 1: Since 808 > 438, we apply the division lemma to 808 and 438, to get

808 = 438 x 1 + 370

Step 2: Since the reminder 438 ≠ 0, we apply division lemma to 370 and 438, to get

438 = 370 x 1 + 68

Step 3: We consider the new divisor 370 and the new remainder 68, and apply the division lemma to get

370 = 68 x 5 + 30

We consider the new divisor 68 and the new remainder 30,and apply the division lemma to get

68 = 30 x 2 + 8

We consider the new divisor 30 and the new remainder 8,and apply the division lemma to get

30 = 8 x 3 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 808 and 438 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(30,8) = HCF(68,30) = HCF(370,68) = HCF(438,370) = HCF(808,438) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 804 > 2, we apply the division lemma to 804 and 2, to get

804 = 2 x 402 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 804 is 2

Notice that 2 = HCF(804,2) .

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Frequently Asked Questions on HCF of 808, 438, 804 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 808, 438, 804?

Answer: HCF of 808, 438, 804 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 808, 438, 804 using Euclid's Algorithm?

Answer: For arbitrary numbers 808, 438, 804 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.