Highest Common Factor of 799, 551, 87 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 799, 551, 87 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 799, 551, 87 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 799, 551, 87 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 799, 551, 87 is 1.

HCF(799, 551, 87) = 1

HCF of 799, 551, 87 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 799, 551, 87 is 1.

Highest Common Factor of 799,551,87 using Euclid's algorithm

Highest Common Factor of 799,551,87 is 1

Step 1: Since 799 > 551, we apply the division lemma to 799 and 551, to get

799 = 551 x 1 + 248

Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 248 and 551, to get

551 = 248 x 2 + 55

Step 3: We consider the new divisor 248 and the new remainder 55, and apply the division lemma to get

248 = 55 x 4 + 28

We consider the new divisor 55 and the new remainder 28,and apply the division lemma to get

55 = 28 x 1 + 27

We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get

28 = 27 x 1 + 1

We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get

27 = 1 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 799 and 551 is 1

Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(55,28) = HCF(248,55) = HCF(551,248) = HCF(799,551) .

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

Step 1: Since 87 > 1, we apply the division lemma to 87 and 1, to get

87 = 1 x 87 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87 is 1

Notice that 1 = HCF(87,1) .

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Frequently Asked Questions on HCF of 799, 551, 87 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 799, 551, 87?

Answer: HCF of 799, 551, 87 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 799, 551, 87 using Euclid's Algorithm?

Answer: For arbitrary numbers 799, 551, 87 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.