Highest Common Factor of 524, 866, 283 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 524, 866, 283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 524, 866, 283 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 524, 866, 283 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 524, 866, 283 is 1.

HCF(524, 866, 283) = 1

HCF of 524, 866, 283 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 524, 866, 283 is 1.

Highest Common Factor of 524,866,283 using Euclid's algorithm

Highest Common Factor of 524,866,283 is 1

Step 1: Since 866 > 524, we apply the division lemma to 866 and 524, to get

866 = 524 x 1 + 342

Step 2: Since the reminder 524 ≠ 0, we apply division lemma to 342 and 524, to get

524 = 342 x 1 + 182

Step 3: We consider the new divisor 342 and the new remainder 182, and apply the division lemma to get

342 = 182 x 1 + 160

We consider the new divisor 182 and the new remainder 160,and apply the division lemma to get

182 = 160 x 1 + 22

We consider the new divisor 160 and the new remainder 22,and apply the division lemma to get

160 = 22 x 7 + 6

We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get

22 = 6 x 3 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 524 and 866 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(160,22) = HCF(182,160) = HCF(342,182) = HCF(524,342) = HCF(866,524) .

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

Step 1: Since 283 > 2, we apply the division lemma to 283 and 2, to get

283 = 2 x 141 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 283 is 1

Notice that 1 = HCF(2,1) = HCF(283,2) .

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Frequently Asked Questions on HCF of 524, 866, 283 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 524, 866, 283?

Answer: HCF of 524, 866, 283 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 524, 866, 283 using Euclid's Algorithm?

Answer: For arbitrary numbers 524, 866, 283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.