Highest Common Factor of 6688, 5293 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 6688, 5293 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6688, 5293 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 6688, 5293 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 6688, 5293 is 1.

HCF(6688, 5293) = 1

HCF of 6688, 5293 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 6688, 5293 is 1.

Highest Common Factor of 6688,5293 using Euclid's algorithm

Highest Common Factor of 6688,5293 is 1

Step 1: Since 6688 > 5293, we apply the division lemma to 6688 and 5293, to get

6688 = 5293 x 1 + 1395

Step 2: Since the reminder 5293 ≠ 0, we apply division lemma to 1395 and 5293, to get

5293 = 1395 x 3 + 1108

Step 3: We consider the new divisor 1395 and the new remainder 1108, and apply the division lemma to get

1395 = 1108 x 1 + 287

We consider the new divisor 1108 and the new remainder 287,and apply the division lemma to get

1108 = 287 x 3 + 247

We consider the new divisor 287 and the new remainder 247,and apply the division lemma to get

287 = 247 x 1 + 40

We consider the new divisor 247 and the new remainder 40,and apply the division lemma to get

247 = 40 x 6 + 7

We consider the new divisor 40 and the new remainder 7,and apply the division lemma to get

40 = 7 x 5 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 6688 and 5293 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(40,7) = HCF(247,40) = HCF(287,247) = HCF(1108,287) = HCF(1395,1108) = HCF(5293,1395) = HCF(6688,5293) .

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Frequently Asked Questions on HCF of 6688, 5293 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 6688, 5293?

Answer: HCF of 6688, 5293 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6688, 5293 using Euclid's Algorithm?

Answer: For arbitrary numbers 6688, 5293 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.