Highest Common Factor of 5034, 8082 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 5034, 8082 i.e. 6 the largest integer that leaves a remainder zero for all numbers.

HCF of 5034, 8082 is 6 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 5034, 8082 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 5034, 8082 is 6.

HCF(5034, 8082) = 6

HCF of 5034, 8082 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 5034, 8082 is 6.

Highest Common Factor of 5034,8082 using Euclid's algorithm

Highest Common Factor of 5034,8082 is 6

Step 1: Since 8082 > 5034, we apply the division lemma to 8082 and 5034, to get

8082 = 5034 x 1 + 3048

Step 2: Since the reminder 5034 ≠ 0, we apply division lemma to 3048 and 5034, to get

5034 = 3048 x 1 + 1986

Step 3: We consider the new divisor 3048 and the new remainder 1986, and apply the division lemma to get

3048 = 1986 x 1 + 1062

We consider the new divisor 1986 and the new remainder 1062,and apply the division lemma to get

1986 = 1062 x 1 + 924

We consider the new divisor 1062 and the new remainder 924,and apply the division lemma to get

1062 = 924 x 1 + 138

We consider the new divisor 924 and the new remainder 138,and apply the division lemma to get

924 = 138 x 6 + 96

We consider the new divisor 138 and the new remainder 96,and apply the division lemma to get

138 = 96 x 1 + 42

We consider the new divisor 96 and the new remainder 42,and apply the division lemma to get

96 = 42 x 2 + 12

We consider the new divisor 42 and the new remainder 12,and apply the division lemma to get

42 = 12 x 3 + 6

We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get

12 = 6 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5034 and 8082 is 6

Notice that 6 = HCF(12,6) = HCF(42,12) = HCF(96,42) = HCF(138,96) = HCF(924,138) = HCF(1062,924) = HCF(1986,1062) = HCF(3048,1986) = HCF(5034,3048) = HCF(8082,5034) .

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Frequently Asked Questions on HCF of 5034, 8082 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 5034, 8082?

Answer: HCF of 5034, 8082 is 6 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5034, 8082 using Euclid's Algorithm?

Answer: For arbitrary numbers 5034, 8082 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.