Highest Common Factor of 829, 1618, 7992 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 829, 1618, 7992 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 829, 1618, 7992 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 829, 1618, 7992 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 829, 1618, 7992 is 1.

HCF(829, 1618, 7992) = 1

HCF of 829, 1618, 7992 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 829, 1618, 7992 is 1.

Highest Common Factor of 829,1618,7992 using Euclid's algorithm

Highest Common Factor of 829,1618,7992 is 1

Step 1: Since 1618 > 829, we apply the division lemma to 1618 and 829, to get

1618 = 829 x 1 + 789

Step 2: Since the reminder 829 ≠ 0, we apply division lemma to 789 and 829, to get

829 = 789 x 1 + 40

Step 3: We consider the new divisor 789 and the new remainder 40, and apply the division lemma to get

789 = 40 x 19 + 29

We consider the new divisor 40 and the new remainder 29,and apply the division lemma to get

40 = 29 x 1 + 11

We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get

29 = 11 x 2 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 829 and 1618 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(40,29) = HCF(789,40) = HCF(829,789) = HCF(1618,829) .

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

Step 1: Since 7992 > 1, we apply the division lemma to 7992 and 1, to get

7992 = 1 x 7992 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7992 is 1

Notice that 1 = HCF(7992,1) .

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Frequently Asked Questions on HCF of 829, 1618, 7992 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 829, 1618, 7992?

Answer: HCF of 829, 1618, 7992 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 829, 1618, 7992 using Euclid's Algorithm?

Answer: For arbitrary numbers 829, 1618, 7992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.