Highest Common Factor of 4245, 3822 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 4245, 3822 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 4245, 3822 is 3 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 4245, 3822 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 4245, 3822 is 3.

HCF(4245, 3822) = 3

HCF of 4245, 3822 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 4245, 3822 is 3.

Highest Common Factor of 4245,3822 using Euclid's algorithm

Highest Common Factor of 4245,3822 is 3

Step 1: Since 4245 > 3822, we apply the division lemma to 4245 and 3822, to get

4245 = 3822 x 1 + 423

Step 2: Since the reminder 3822 ≠ 0, we apply division lemma to 423 and 3822, to get

3822 = 423 x 9 + 15

Step 3: We consider the new divisor 423 and the new remainder 15, and apply the division lemma to get

423 = 15 x 28 + 3

We consider the new divisor 15 and the new remainder 3, and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4245 and 3822 is 3

Notice that 3 = HCF(15,3) = HCF(423,15) = HCF(3822,423) = HCF(4245,3822) .

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Frequently Asked Questions on HCF of 4245, 3822 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 4245, 3822?

Answer: HCF of 4245, 3822 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4245, 3822 using Euclid's Algorithm?

Answer: For arbitrary numbers 4245, 3822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.