Highest Common Factor of 551, 884 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 551, 884 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 551, 884 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 551, 884 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 551, 884 is 1.

HCF(551, 884) = 1

HCF of 551, 884 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 551, 884 is 1.

Highest Common Factor of 551,884 using Euclid's algorithm

Highest Common Factor of 551,884 is 1

Step 1: Since 884 > 551, we apply the division lemma to 884 and 551, to get

884 = 551 x 1 + 333

Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 333 and 551, to get

551 = 333 x 1 + 218

Step 3: We consider the new divisor 333 and the new remainder 218, and apply the division lemma to get

333 = 218 x 1 + 115

We consider the new divisor 218 and the new remainder 115,and apply the division lemma to get

218 = 115 x 1 + 103

We consider the new divisor 115 and the new remainder 103,and apply the division lemma to get

115 = 103 x 1 + 12

We consider the new divisor 103 and the new remainder 12,and apply the division lemma to get

103 = 12 x 8 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 551 and 884 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(103,12) = HCF(115,103) = HCF(218,115) = HCF(333,218) = HCF(551,333) = HCF(884,551) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 551, 884 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 551, 884?

Answer: HCF of 551, 884 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 551, 884 using Euclid's Algorithm?

Answer: For arbitrary numbers 551, 884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.