Highest Common Factor of 3742, 4303, 20835 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 3742, 4303, 20835 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3742, 4303, 20835 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 3742, 4303, 20835 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 3742, 4303, 20835 is 1.

HCF(3742, 4303, 20835) = 1

HCF of 3742, 4303, 20835 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 3742, 4303, 20835 is 1.

Highest Common Factor of 3742,4303,20835 using Euclid's algorithm

Highest Common Factor of 3742,4303,20835 is 1

Step 1: Since 4303 > 3742, we apply the division lemma to 4303 and 3742, to get

4303 = 3742 x 1 + 561

Step 2: Since the reminder 3742 ≠ 0, we apply division lemma to 561 and 3742, to get

3742 = 561 x 6 + 376

Step 3: We consider the new divisor 561 and the new remainder 376, and apply the division lemma to get

561 = 376 x 1 + 185

We consider the new divisor 376 and the new remainder 185,and apply the division lemma to get

376 = 185 x 2 + 6

We consider the new divisor 185 and the new remainder 6,and apply the division lemma to get

185 = 6 x 30 + 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 3742 and 4303 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(185,6) = HCF(376,185) = HCF(561,376) = HCF(3742,561) = HCF(4303,3742) .

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

Step 1: Since 20835 > 1, we apply the division lemma to 20835 and 1, to get

20835 = 1 x 20835 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 20835 is 1

Notice that 1 = HCF(20835,1) .

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Frequently Asked Questions on HCF of 3742, 4303, 20835 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 3742, 4303, 20835?

Answer: HCF of 3742, 4303, 20835 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3742, 4303, 20835 using Euclid's Algorithm?

Answer: For arbitrary numbers 3742, 4303, 20835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.