Highest Common Factor of 551, 878 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, 878 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 551, 878 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, 878 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, 878 is 1.

HCF(551, 878) = 1

HCF of 551, 878 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, 878 is 1.

Highest Common Factor of 551,878 using Euclid's algorithm

Highest Common Factor of 551,878 is 1

Step 1: Since 878 > 551, we apply the division lemma to 878 and 551, to get

878 = 551 x 1 + 327

Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 327 and 551, to get

551 = 327 x 1 + 224

Step 3: We consider the new divisor 327 and the new remainder 224, and apply the division lemma to get

327 = 224 x 1 + 103

We consider the new divisor 224 and the new remainder 103,and apply the division lemma to get

224 = 103 x 2 + 18

We consider the new divisor 103 and the new remainder 18,and apply the division lemma to get

103 = 18 x 5 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 878 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(103,18) = HCF(224,103) = HCF(327,224) = HCF(551,327) = HCF(878,551) .

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Frequently Asked Questions on HCF of 551, 878 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, 878?

Answer: HCF of 551, 878 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 551, 878 using Euclid's Algorithm?

Answer: For arbitrary numbers 551, 878 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.