Highest Common Factor of 7792, 3483 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 7792, 3483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7792, 3483 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 7792, 3483 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 7792, 3483 is 1.

HCF(7792, 3483) = 1

HCF of 7792, 3483 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 7792, 3483 is 1.

Highest Common Factor of 7792,3483 using Euclid's algorithm

Highest Common Factor of 7792,3483 is 1

Step 1: Since 7792 > 3483, we apply the division lemma to 7792 and 3483, to get

7792 = 3483 x 2 + 826

Step 2: Since the reminder 3483 ≠ 0, we apply division lemma to 826 and 3483, to get

3483 = 826 x 4 + 179

Step 3: We consider the new divisor 826 and the new remainder 179, and apply the division lemma to get

826 = 179 x 4 + 110

We consider the new divisor 179 and the new remainder 110,and apply the division lemma to get

179 = 110 x 1 + 69

We consider the new divisor 110 and the new remainder 69,and apply the division lemma to get

110 = 69 x 1 + 41

We consider the new divisor 69 and the new remainder 41,and apply the division lemma to get

69 = 41 x 1 + 28

We consider the new divisor 41 and the new remainder 28,and apply the division lemma to get

41 = 28 x 1 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7792 and 3483 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(41,28) = HCF(69,41) = HCF(110,69) = HCF(179,110) = HCF(826,179) = HCF(3483,826) = HCF(7792,3483) .

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Frequently Asked Questions on HCF of 7792, 3483 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 7792, 3483?

Answer: HCF of 7792, 3483 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7792, 3483 using Euclid's Algorithm?

Answer: For arbitrary numbers 7792, 3483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.