Highest Common Factor of 7668, 4850, 76063 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 7668, 4850, 76063 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7668, 4850, 76063 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 7668, 4850, 76063 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 7668, 4850, 76063 is 1.

HCF(7668, 4850, 76063) = 1

HCF of 7668, 4850, 76063 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 7668, 4850, 76063 is 1.

Highest Common Factor of 7668,4850,76063 using Euclid's algorithm

Highest Common Factor of 7668,4850,76063 is 1

Step 1: Since 7668 > 4850, we apply the division lemma to 7668 and 4850, to get

7668 = 4850 x 1 + 2818

Step 2: Since the reminder 4850 ≠ 0, we apply division lemma to 2818 and 4850, to get

4850 = 2818 x 1 + 2032

Step 3: We consider the new divisor 2818 and the new remainder 2032, and apply the division lemma to get

2818 = 2032 x 1 + 786

We consider the new divisor 2032 and the new remainder 786,and apply the division lemma to get

2032 = 786 x 2 + 460

We consider the new divisor 786 and the new remainder 460,and apply the division lemma to get

786 = 460 x 1 + 326

We consider the new divisor 460 and the new remainder 326,and apply the division lemma to get

460 = 326 x 1 + 134

We consider the new divisor 326 and the new remainder 134,and apply the division lemma to get

326 = 134 x 2 + 58

We consider the new divisor 134 and the new remainder 58,and apply the division lemma to get

134 = 58 x 2 + 18

We consider the new divisor 58 and the new remainder 18,and apply the division lemma to get

58 = 18 x 3 + 4

We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get

18 = 4 x 4 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7668 and 4850 is 2

Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(58,18) = HCF(134,58) = HCF(326,134) = HCF(460,326) = HCF(786,460) = HCF(2032,786) = HCF(2818,2032) = HCF(4850,2818) = HCF(7668,4850) .

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

Step 1: Since 76063 > 2, we apply the division lemma to 76063 and 2, to get

76063 = 2 x 38031 + 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 76063 is 1

Notice that 1 = HCF(2,1) = HCF(76063,2) .

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Frequently Asked Questions on HCF of 7668, 4850, 76063 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 7668, 4850, 76063?

Answer: HCF of 7668, 4850, 76063 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7668, 4850, 76063 using Euclid's Algorithm?

Answer: For arbitrary numbers 7668, 4850, 76063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.