Highest Common Factor of 569, 930 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 569, 930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 569, 930 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 569, 930 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 569, 930 is 1.

HCF(569, 930) = 1

HCF of 569, 930 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 569, 930 is 1.

Highest Common Factor of 569,930 using Euclid's algorithm

Highest Common Factor of 569,930 is 1

Step 1: Since 930 > 569, we apply the division lemma to 930 and 569, to get

930 = 569 x 1 + 361

Step 2: Since the reminder 569 ≠ 0, we apply division lemma to 361 and 569, to get

569 = 361 x 1 + 208

Step 3: We consider the new divisor 361 and the new remainder 208, and apply the division lemma to get

361 = 208 x 1 + 153

We consider the new divisor 208 and the new remainder 153,and apply the division lemma to get

208 = 153 x 1 + 55

We consider the new divisor 153 and the new remainder 55,and apply the division lemma to get

153 = 55 x 2 + 43

We consider the new divisor 55 and the new remainder 43,and apply the division lemma to get

55 = 43 x 1 + 12

We consider the new divisor 43 and the new remainder 12,and apply the division lemma to get

43 = 12 x 3 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 569 and 930 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(43,12) = HCF(55,43) = HCF(153,55) = HCF(208,153) = HCF(361,208) = HCF(569,361) = HCF(930,569) .

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Frequently Asked Questions on HCF of 569, 930 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 569, 930?

Answer: HCF of 569, 930 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 569, 930 using Euclid's Algorithm?

Answer: For arbitrary numbers 569, 930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.