Highest Common Factor of 593, 807, 688 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, 807, 688 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 593, 807, 688 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, 807, 688 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, 807, 688 is 1.

HCF(593, 807, 688) = 1

HCF of 593, 807, 688 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, 807, 688 is 1.

Highest Common Factor of 593,807,688 using Euclid's algorithm

Highest Common Factor of 593,807,688 is 1

Step 1: Since 807 > 593, we apply the division lemma to 807 and 593, to get

807 = 593 x 1 + 214

Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 214 and 593, to get

593 = 214 x 2 + 165

Step 3: We consider the new divisor 214 and the new remainder 165, and apply the division lemma to get

214 = 165 x 1 + 49

We consider the new divisor 165 and the new remainder 49,and apply the division lemma to get

165 = 49 x 3 + 18

We consider the new divisor 49 and the new remainder 18,and apply the division lemma to get

49 = 18 x 2 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 593 and 807 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(49,18) = HCF(165,49) = HCF(214,165) = HCF(593,214) = HCF(807,593) .

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

Step 1: Since 688 > 1, we apply the division lemma to 688 and 1, to get

688 = 1 x 688 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 688 is 1

Notice that 1 = HCF(688,1) .

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Frequently Asked Questions on HCF of 593, 807, 688 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, 807, 688?

Answer: HCF of 593, 807, 688 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 593, 807, 688 using Euclid's Algorithm?

Answer: For arbitrary numbers 593, 807, 688 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.