Highest Common Factor of 593, 331, 78 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 593, 331, 78 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 593, 331, 78 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 593, 331, 78 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 593, 331, 78 is 1.

HCF(593, 331, 78) = 1

HCF of 593, 331, 78 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 593, 331, 78 is 1.

Highest Common Factor of 593,331,78 using Euclid's algorithm

Highest Common Factor of 593,331,78 is 1

Step 1: Since 593 > 331, we apply the division lemma to 593 and 331, to get

593 = 331 x 1 + 262

Step 2: Since the reminder 331 ≠ 0, we apply division lemma to 262 and 331, to get

331 = 262 x 1 + 69

Step 3: We consider the new divisor 262 and the new remainder 69, and apply the division lemma to get

262 = 69 x 3 + 55

We consider the new divisor 69 and the new remainder 55,and apply the division lemma to get

69 = 55 x 1 + 14

We consider the new divisor 55 and the new remainder 14,and apply the division lemma to get

55 = 14 x 3 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 593 and 331 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(55,14) = HCF(69,55) = HCF(262,69) = HCF(331,262) = HCF(593,331) .

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

Step 1: Since 78 > 1, we apply the division lemma to 78 and 1, to get

78 = 1 x 78 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78 is 1

Notice that 1 = HCF(78,1) .

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Frequently Asked Questions on HCF of 593, 331, 78 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 593, 331, 78?

Answer: HCF of 593, 331, 78 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 593, 331, 78 using Euclid's Algorithm?

Answer: For arbitrary numbers 593, 331, 78 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.