Highest Common Factor of 3424, 4821 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 3424, 4821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3424, 4821 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 3424, 4821 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 3424, 4821 is 1.

HCF(3424, 4821) = 1

HCF of 3424, 4821 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 3424, 4821 is 1.

Highest Common Factor of 3424,4821 using Euclid's algorithm

Highest Common Factor of 3424,4821 is 1

Step 1: Since 4821 > 3424, we apply the division lemma to 4821 and 3424, to get

4821 = 3424 x 1 + 1397

Step 2: Since the reminder 3424 ≠ 0, we apply division lemma to 1397 and 3424, to get

3424 = 1397 x 2 + 630

Step 3: We consider the new divisor 1397 and the new remainder 630, and apply the division lemma to get

1397 = 630 x 2 + 137

We consider the new divisor 630 and the new remainder 137,and apply the division lemma to get

630 = 137 x 4 + 82

We consider the new divisor 137 and the new remainder 82,and apply the division lemma to get

137 = 82 x 1 + 55

We consider the new divisor 82 and the new remainder 55,and apply the division lemma to get

82 = 55 x 1 + 27

We consider the new divisor 55 and the new remainder 27,and apply the division lemma to get

55 = 27 x 2 + 1

We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get

27 = 1 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3424 and 4821 is 1

Notice that 1 = HCF(27,1) = HCF(55,27) = HCF(82,55) = HCF(137,82) = HCF(630,137) = HCF(1397,630) = HCF(3424,1397) = HCF(4821,3424) .

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Frequently Asked Questions on HCF of 3424, 4821 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 3424, 4821?

Answer: HCF of 3424, 4821 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3424, 4821 using Euclid's Algorithm?

Answer: For arbitrary numbers 3424, 4821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.