Highest Common Factor of 7747, 1633 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 7747, 1633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7747, 1633 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 7747, 1633 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 7747, 1633 is 1.

HCF(7747, 1633) = 1

HCF of 7747, 1633 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7747, 1633 is 1.

Highest Common Factor of 7747,1633 using Euclid's algorithm

Highest Common Factor of 7747,1633 is 1

Step 1: Since 7747 > 1633, we apply the division lemma to 7747 and 1633, to get

7747 = 1633 x 4 + 1215

Step 2: Since the reminder 1633 ≠ 0, we apply division lemma to 1215 and 1633, to get

1633 = 1215 x 1 + 418

Step 3: We consider the new divisor 1215 and the new remainder 418, and apply the division lemma to get

1215 = 418 x 2 + 379

We consider the new divisor 418 and the new remainder 379,and apply the division lemma to get

418 = 379 x 1 + 39

We consider the new divisor 379 and the new remainder 39,and apply the division lemma to get

379 = 39 x 9 + 28

We consider the new divisor 39 and the new remainder 28,and apply the division lemma to get

39 = 28 x 1 + 11

We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get

28 = 11 x 2 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7747 and 1633 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(39,28) = HCF(379,39) = HCF(418,379) = HCF(1215,418) = HCF(1633,1215) = HCF(7747,1633) .

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Frequently Asked Questions on HCF of 7747, 1633 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 7747, 1633?

Answer: HCF of 7747, 1633 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7747, 1633 using Euclid's Algorithm?

Answer: For arbitrary numbers 7747, 1633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.