Highest Common Factor of 4522, 1929, 82465 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 4522, 1929, 82465 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4522, 1929, 82465 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 4522, 1929, 82465 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 4522, 1929, 82465 is 1.

HCF(4522, 1929, 82465) = 1

HCF of 4522, 1929, 82465 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 4522, 1929, 82465 is 1.

Highest Common Factor of 4522,1929,82465 using Euclid's algorithm

Highest Common Factor of 4522,1929,82465 is 1

Step 1: Since 4522 > 1929, we apply the division lemma to 4522 and 1929, to get

4522 = 1929 x 2 + 664

Step 2: Since the reminder 1929 ≠ 0, we apply division lemma to 664 and 1929, to get

1929 = 664 x 2 + 601

Step 3: We consider the new divisor 664 and the new remainder 601, and apply the division lemma to get

664 = 601 x 1 + 63

We consider the new divisor 601 and the new remainder 63,and apply the division lemma to get

601 = 63 x 9 + 34

We consider the new divisor 63 and the new remainder 34,and apply the division lemma to get

63 = 34 x 1 + 29

We consider the new divisor 34 and the new remainder 29,and apply the division lemma to get

34 = 29 x 1 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 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 4522 and 1929 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(34,29) = HCF(63,34) = HCF(601,63) = HCF(664,601) = HCF(1929,664) = HCF(4522,1929) .

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

Step 1: Since 82465 > 1, we apply the division lemma to 82465 and 1, to get

82465 = 1 x 82465 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 82465 is 1

Notice that 1 = HCF(82465,1) .

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Frequently Asked Questions on HCF of 4522, 1929, 82465 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 4522, 1929, 82465?

Answer: HCF of 4522, 1929, 82465 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4522, 1929, 82465 using Euclid's Algorithm?

Answer: For arbitrary numbers 4522, 1929, 82465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.