Highest Common Factor of 5688, 7783 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 5688, 7783 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5688, 7783 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 5688, 7783 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 5688, 7783 is 1.

HCF(5688, 7783) = 1

HCF of 5688, 7783 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 5688, 7783 is 1.

Highest Common Factor of 5688,7783 using Euclid's algorithm

Highest Common Factor of 5688,7783 is 1

Step 1: Since 7783 > 5688, we apply the division lemma to 7783 and 5688, to get

7783 = 5688 x 1 + 2095

Step 2: Since the reminder 5688 ≠ 0, we apply division lemma to 2095 and 5688, to get

5688 = 2095 x 2 + 1498

Step 3: We consider the new divisor 2095 and the new remainder 1498, and apply the division lemma to get

2095 = 1498 x 1 + 597

We consider the new divisor 1498 and the new remainder 597,and apply the division lemma to get

1498 = 597 x 2 + 304

We consider the new divisor 597 and the new remainder 304,and apply the division lemma to get

597 = 304 x 1 + 293

We consider the new divisor 304 and the new remainder 293,and apply the division lemma to get

304 = 293 x 1 + 11

We consider the new divisor 293 and the new remainder 11,and apply the division lemma to get

293 = 11 x 26 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5688 and 7783 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(293,11) = HCF(304,293) = HCF(597,304) = HCF(1498,597) = HCF(2095,1498) = HCF(5688,2095) = HCF(7783,5688) .

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Frequently Asked Questions on HCF of 5688, 7783 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 5688, 7783?

Answer: HCF of 5688, 7783 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5688, 7783 using Euclid's Algorithm?

Answer: For arbitrary numbers 5688, 7783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.