Highest Common Factor of 863, 540, 608 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 863, 540, 608 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 863, 540, 608 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 863, 540, 608 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 863, 540, 608 is 1.

HCF(863, 540, 608) = 1

HCF of 863, 540, 608 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 863, 540, 608 is 1.

Highest Common Factor of 863,540,608 using Euclid's algorithm

Highest Common Factor of 863,540,608 is 1

Step 1: Since 863 > 540, we apply the division lemma to 863 and 540, to get

863 = 540 x 1 + 323

Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 323 and 540, to get

540 = 323 x 1 + 217

Step 3: We consider the new divisor 323 and the new remainder 217, and apply the division lemma to get

323 = 217 x 1 + 106

We consider the new divisor 217 and the new remainder 106,and apply the division lemma to get

217 = 106 x 2 + 5

We consider the new divisor 106 and the new remainder 5,and apply the division lemma to get

106 = 5 x 21 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 863 and 540 is 1

Notice that 1 = HCF(5,1) = HCF(106,5) = HCF(217,106) = HCF(323,217) = HCF(540,323) = HCF(863,540) .

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

Step 1: Since 608 > 1, we apply the division lemma to 608 and 1, to get

608 = 1 x 608 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 608 is 1

Notice that 1 = HCF(608,1) .

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Frequently Asked Questions on HCF of 863, 540, 608 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 863, 540, 608?

Answer: HCF of 863, 540, 608 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 863, 540, 608 using Euclid's Algorithm?

Answer: For arbitrary numbers 863, 540, 608 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.