Highest Common Factor of 551, 798, 807 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, 798, 807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 551, 798, 807 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, 798, 807 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, 798, 807 is 1.

HCF(551, 798, 807) = 1

HCF of 551, 798, 807 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, 798, 807 is 1.

Highest Common Factor of 551,798,807 using Euclid's algorithm

Highest Common Factor of 551,798,807 is 1

Step 1: Since 798 > 551, we apply the division lemma to 798 and 551, to get

798 = 551 x 1 + 247

Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 247 and 551, to get

551 = 247 x 2 + 57

Step 3: 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 798 is 19

Notice that 19 = HCF(57,19) = HCF(247,57) = HCF(551,247) = HCF(798,551) .

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

Step 1: Since 807 > 19, we apply the division lemma to 807 and 19, to get

807 = 19 x 42 + 9

Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 9 and 19, to get

19 = 9 x 2 + 1

Step 3: We consider the new divisor 9 and the new remainder 1, and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 19 and 807 is 1

Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(807,19) .

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Frequently Asked Questions on HCF of 551, 798, 807 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, 798, 807?

Answer: HCF of 551, 798, 807 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 551, 798, 807 using Euclid's Algorithm?

Answer: For arbitrary numbers 551, 798, 807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.