Highest Common Factor of 827, 599 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 827, 599 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 827, 599 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 827, 599 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 827, 599 is 1.

HCF(827, 599) = 1

HCF of 827, 599 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 827, 599 is 1.

Highest Common Factor of 827,599 using Euclid's algorithm

Highest Common Factor of 827,599 is 1

Step 1: Since 827 > 599, we apply the division lemma to 827 and 599, to get

827 = 599 x 1 + 228

Step 2: Since the reminder 599 ≠ 0, we apply division lemma to 228 and 599, to get

599 = 228 x 2 + 143

Step 3: We consider the new divisor 228 and the new remainder 143, and apply the division lemma to get

228 = 143 x 1 + 85

We consider the new divisor 143 and the new remainder 85,and apply the division lemma to get

143 = 85 x 1 + 58

We consider the new divisor 85 and the new remainder 58,and apply the division lemma to get

85 = 58 x 1 + 27

We consider the new divisor 58 and the new remainder 27,and apply the division lemma to get

58 = 27 x 2 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 3

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

4 = 3 x 1 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 827 and 599 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(58,27) = HCF(85,58) = HCF(143,85) = HCF(228,143) = HCF(599,228) = HCF(827,599) .

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Frequently Asked Questions on HCF of 827, 599 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 827, 599?

Answer: HCF of 827, 599 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 827, 599 using Euclid's Algorithm?

Answer: For arbitrary numbers 827, 599 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.