Highest Common Factor of 816, 998, 941 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 816, 998, 941 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 816, 998, 941 is 1 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 816, 998, 941 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 816, 998, 941 is 1.

HCF(816, 998, 941) = 1

HCF of 816, 998, 941 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 816, 998, 941 is 1.

Highest Common Factor of 816,998,941 using Euclid's algorithm

Highest Common Factor of 816,998,941 is 1

Step 1: Since 998 > 816, we apply the division lemma to 998 and 816, to get

998 = 816 x 1 + 182

Step 2: Since the reminder 816 ≠ 0, we apply division lemma to 182 and 816, to get

816 = 182 x 4 + 88

Step 3: We consider the new divisor 182 and the new remainder 88, and apply the division lemma to get

182 = 88 x 2 + 6

We consider the new divisor 88 and the new remainder 6,and apply the division lemma to get

88 = 6 x 14 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 816 and 998 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(88,6) = HCF(182,88) = HCF(816,182) = HCF(998,816) .

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

Step 1: Since 941 > 2, we apply the division lemma to 941 and 2, to get

941 = 2 x 470 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 941 is 1

Notice that 1 = HCF(2,1) = HCF(941,2) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 816, 998, 941 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 816, 998, 941?

Answer: HCF of 816, 998, 941 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 816, 998, 941 using Euclid's Algorithm?

Answer: For arbitrary numbers 816, 998, 941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.