Highest Common Factor of 529, 849 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 529, 849 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 529, 849 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 529, 849 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 529, 849 is 1.

HCF(529, 849) = 1

HCF of 529, 849 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 529, 849 is 1.

Highest Common Factor of 529,849 using Euclid's algorithm

Highest Common Factor of 529,849 is 1

Step 1: Since 849 > 529, we apply the division lemma to 849 and 529, to get

849 = 529 x 1 + 320

Step 2: Since the reminder 529 ≠ 0, we apply division lemma to 320 and 529, to get

529 = 320 x 1 + 209

Step 3: We consider the new divisor 320 and the new remainder 209, and apply the division lemma to get

320 = 209 x 1 + 111

We consider the new divisor 209 and the new remainder 111,and apply the division lemma to get

209 = 111 x 1 + 98

We consider the new divisor 111 and the new remainder 98,and apply the division lemma to get

111 = 98 x 1 + 13

We consider the new divisor 98 and the new remainder 13,and apply the division lemma to get

98 = 13 x 7 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 529 and 849 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(98,13) = HCF(111,98) = HCF(209,111) = HCF(320,209) = HCF(529,320) = HCF(849,529) .

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Frequently Asked Questions on HCF of 529, 849 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 529, 849?

Answer: HCF of 529, 849 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 529, 849 using Euclid's Algorithm?

Answer: For arbitrary numbers 529, 849 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.