Highest Common Factor of 3722, 3023, 38927 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 3722, 3023, 38927 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3722, 3023, 38927 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 3722, 3023, 38927 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 3722, 3023, 38927 is 1.

HCF(3722, 3023, 38927) = 1

HCF of 3722, 3023, 38927 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 3722, 3023, 38927 is 1.

Highest Common Factor of 3722,3023,38927 using Euclid's algorithm

Highest Common Factor of 3722,3023,38927 is 1

Step 1: Since 3722 > 3023, we apply the division lemma to 3722 and 3023, to get

3722 = 3023 x 1 + 699

Step 2: Since the reminder 3023 ≠ 0, we apply division lemma to 699 and 3023, to get

3023 = 699 x 4 + 227

Step 3: We consider the new divisor 699 and the new remainder 227, and apply the division lemma to get

699 = 227 x 3 + 18

We consider the new divisor 227 and the new remainder 18,and apply the division lemma to get

227 = 18 x 12 + 11

We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get

18 = 11 x 1 + 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 3722 and 3023 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(227,18) = HCF(699,227) = HCF(3023,699) = HCF(3722,3023) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 38927 > 1, we apply the division lemma to 38927 and 1, to get

38927 = 1 x 38927 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38927 is 1

Notice that 1 = HCF(38927,1) .

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Frequently Asked Questions on HCF of 3722, 3023, 38927 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 3722, 3023, 38927?

Answer: HCF of 3722, 3023, 38927 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3722, 3023, 38927 using Euclid's Algorithm?

Answer: For arbitrary numbers 3722, 3023, 38927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.