Highest Common Factor of 7783, 4738 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 7783, 4738 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7783, 4738 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 7783, 4738 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 7783, 4738 is 1.

HCF(7783, 4738) = 1

HCF of 7783, 4738 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 7783, 4738 is 1.

Highest Common Factor of 7783,4738 using Euclid's algorithm

Highest Common Factor of 7783,4738 is 1

Step 1: Since 7783 > 4738, we apply the division lemma to 7783 and 4738, to get

7783 = 4738 x 1 + 3045

Step 2: Since the reminder 4738 ≠ 0, we apply division lemma to 3045 and 4738, to get

4738 = 3045 x 1 + 1693

Step 3: We consider the new divisor 3045 and the new remainder 1693, and apply the division lemma to get

3045 = 1693 x 1 + 1352

We consider the new divisor 1693 and the new remainder 1352,and apply the division lemma to get

1693 = 1352 x 1 + 341

We consider the new divisor 1352 and the new remainder 341,and apply the division lemma to get

1352 = 341 x 3 + 329

We consider the new divisor 341 and the new remainder 329,and apply the division lemma to get

341 = 329 x 1 + 12

We consider the new divisor 329 and the new remainder 12,and apply the division lemma to get

329 = 12 x 27 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 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 7783 and 4738 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(329,12) = HCF(341,329) = HCF(1352,341) = HCF(1693,1352) = HCF(3045,1693) = HCF(4738,3045) = HCF(7783,4738) .

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Frequently Asked Questions on HCF of 7783, 4738 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 7783, 4738?

Answer: HCF of 7783, 4738 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7783, 4738 using Euclid's Algorithm?

Answer: For arbitrary numbers 7783, 4738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.