Highest Common Factor of 535, 857, 586 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 535, 857, 586 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 535, 857, 586 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 535, 857, 586 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 535, 857, 586 is 1.

HCF(535, 857, 586) = 1

HCF of 535, 857, 586 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 535, 857, 586 is 1.

Highest Common Factor of 535,857,586 using Euclid's algorithm

Highest Common Factor of 535,857,586 is 1

Step 1: Since 857 > 535, we apply the division lemma to 857 and 535, to get

857 = 535 x 1 + 322

Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 322 and 535, to get

535 = 322 x 1 + 213

Step 3: We consider the new divisor 322 and the new remainder 213, and apply the division lemma to get

322 = 213 x 1 + 109

We consider the new divisor 213 and the new remainder 109,and apply the division lemma to get

213 = 109 x 1 + 104

We consider the new divisor 109 and the new remainder 104,and apply the division lemma to get

109 = 104 x 1 + 5

We consider the new divisor 104 and the new remainder 5,and apply the division lemma to get

104 = 5 x 20 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 535 and 857 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(104,5) = HCF(109,104) = HCF(213,109) = HCF(322,213) = HCF(535,322) = HCF(857,535) .

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

Step 1: Since 586 > 1, we apply the division lemma to 586 and 1, to get

586 = 1 x 586 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 586 is 1

Notice that 1 = HCF(586,1) .

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Frequently Asked Questions on HCF of 535, 857, 586 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 535, 857, 586?

Answer: HCF of 535, 857, 586 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 535, 857, 586 using Euclid's Algorithm?

Answer: For arbitrary numbers 535, 857, 586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.