Highest Common Factor of 551, 855, 214 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, 855, 214 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 551, 855, 214 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, 855, 214 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, 855, 214 is 1.

HCF(551, 855, 214) = 1

HCF of 551, 855, 214 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, 855, 214 is 1.

Highest Common Factor of 551,855,214 using Euclid's algorithm

Highest Common Factor of 551,855,214 is 1

Step 1: Since 855 > 551, we apply the division lemma to 855 and 551, to get

855 = 551 x 1 + 304

Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 304 and 551, to get

551 = 304 x 1 + 247

Step 3: We consider the new divisor 304 and the new remainder 247, and apply the division lemma to get

304 = 247 x 1 + 57

We consider the new divisor 247 and the new remainder 57,and apply the division lemma to get

247 = 57 x 4 + 19

We consider the new divisor 57 and the new remainder 19,and apply the division lemma to get

57 = 19 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 551 and 855 is 19

Notice that 19 = HCF(57,19) = HCF(247,57) = HCF(304,247) = HCF(551,304) = HCF(855,551) .

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

Step 1: Since 214 > 19, we apply the division lemma to 214 and 19, to get

214 = 19 x 11 + 5

Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 5 and 19, to get

19 = 5 x 3 + 4

Step 3: We consider the new divisor 5 and the new remainder 4, and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 19 and 214 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(214,19) .

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Frequently Asked Questions on HCF of 551, 855, 214 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, 855, 214?

Answer: HCF of 551, 855, 214 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 551, 855, 214 using Euclid's Algorithm?

Answer: For arbitrary numbers 551, 855, 214 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.