Highest Common Factor of 4034, 7808, 82991 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 4034, 7808, 82991 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4034, 7808, 82991 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 4034, 7808, 82991 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 4034, 7808, 82991 is 1.

HCF(4034, 7808, 82991) = 1

HCF of 4034, 7808, 82991 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 4034, 7808, 82991 is 1.

Highest Common Factor of 4034,7808,82991 using Euclid's algorithm

Highest Common Factor of 4034,7808,82991 is 1

Step 1: Since 7808 > 4034, we apply the division lemma to 7808 and 4034, to get

7808 = 4034 x 1 + 3774

Step 2: Since the reminder 4034 ≠ 0, we apply division lemma to 3774 and 4034, to get

4034 = 3774 x 1 + 260

Step 3: We consider the new divisor 3774 and the new remainder 260, and apply the division lemma to get

3774 = 260 x 14 + 134

We consider the new divisor 260 and the new remainder 134,and apply the division lemma to get

260 = 134 x 1 + 126

We consider the new divisor 134 and the new remainder 126,and apply the division lemma to get

134 = 126 x 1 + 8

We consider the new divisor 126 and the new remainder 8,and apply the division lemma to get

126 = 8 x 15 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4034 and 7808 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(126,8) = HCF(134,126) = HCF(260,134) = HCF(3774,260) = HCF(4034,3774) = HCF(7808,4034) .

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

Step 1: Since 82991 > 2, we apply the division lemma to 82991 and 2, to get

82991 = 2 x 41495 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 82991 is 1

Notice that 1 = HCF(2,1) = HCF(82991,2) .

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Frequently Asked Questions on HCF of 4034, 7808, 82991 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 4034, 7808, 82991?

Answer: HCF of 4034, 7808, 82991 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4034, 7808, 82991 using Euclid's Algorithm?

Answer: For arbitrary numbers 4034, 7808, 82991 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.