Highest Common Factor of 3419, 8793, 74399 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 3419, 8793, 74399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3419, 8793, 74399 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 3419, 8793, 74399 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 3419, 8793, 74399 is 1.

HCF(3419, 8793, 74399) = 1

HCF of 3419, 8793, 74399 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 3419, 8793, 74399 is 1.

Highest Common Factor of 3419,8793,74399 using Euclid's algorithm

Highest Common Factor of 3419,8793,74399 is 1

Step 1: Since 8793 > 3419, we apply the division lemma to 8793 and 3419, to get

8793 = 3419 x 2 + 1955

Step 2: Since the reminder 3419 ≠ 0, we apply division lemma to 1955 and 3419, to get

3419 = 1955 x 1 + 1464

Step 3: We consider the new divisor 1955 and the new remainder 1464, and apply the division lemma to get

1955 = 1464 x 1 + 491

We consider the new divisor 1464 and the new remainder 491,and apply the division lemma to get

1464 = 491 x 2 + 482

We consider the new divisor 491 and the new remainder 482,and apply the division lemma to get

491 = 482 x 1 + 9

We consider the new divisor 482 and the new remainder 9,and apply the division lemma to get

482 = 9 x 53 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3419 and 8793 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(482,9) = HCF(491,482) = HCF(1464,491) = HCF(1955,1464) = HCF(3419,1955) = HCF(8793,3419) .

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

Step 1: Since 74399 > 1, we apply the division lemma to 74399 and 1, to get

74399 = 1 x 74399 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74399 is 1

Notice that 1 = HCF(74399,1) .

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Frequently Asked Questions on HCF of 3419, 8793, 74399 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 3419, 8793, 74399?

Answer: HCF of 3419, 8793, 74399 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3419, 8793, 74399 using Euclid's Algorithm?

Answer: For arbitrary numbers 3419, 8793, 74399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.