Highest Common Factor of 3789, 9935 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 3789, 9935 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3789, 9935 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 3789, 9935 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 3789, 9935 is 1.

HCF(3789, 9935) = 1

HCF of 3789, 9935 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 3789, 9935 is 1.

Highest Common Factor of 3789,9935 using Euclid's algorithm

Highest Common Factor of 3789,9935 is 1

Step 1: Since 9935 > 3789, we apply the division lemma to 9935 and 3789, to get

9935 = 3789 x 2 + 2357

Step 2: Since the reminder 3789 ≠ 0, we apply division lemma to 2357 and 3789, to get

3789 = 2357 x 1 + 1432

Step 3: We consider the new divisor 2357 and the new remainder 1432, and apply the division lemma to get

2357 = 1432 x 1 + 925

We consider the new divisor 1432 and the new remainder 925,and apply the division lemma to get

1432 = 925 x 1 + 507

We consider the new divisor 925 and the new remainder 507,and apply the division lemma to get

925 = 507 x 1 + 418

We consider the new divisor 507 and the new remainder 418,and apply the division lemma to get

507 = 418 x 1 + 89

We consider the new divisor 418 and the new remainder 89,and apply the division lemma to get

418 = 89 x 4 + 62

We consider the new divisor 89 and the new remainder 62,and apply the division lemma to get

89 = 62 x 1 + 27

We consider the new divisor 62 and the new remainder 27,and apply the division lemma to get

62 = 27 x 2 + 8

We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get

27 = 8 x 3 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 3789 and 9935 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(62,27) = HCF(89,62) = HCF(418,89) = HCF(507,418) = HCF(925,507) = HCF(1432,925) = HCF(2357,1432) = HCF(3789,2357) = HCF(9935,3789) .

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Frequently Asked Questions on HCF of 3789, 9935 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 3789, 9935?

Answer: HCF of 3789, 9935 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3789, 9935 using Euclid's Algorithm?

Answer: For arbitrary numbers 3789, 9935 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.