Highest Common Factor of 917, 9966, 3079 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 917, 9966, 3079 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 917, 9966, 3079 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 917, 9966, 3079 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 917, 9966, 3079 is 1.

HCF(917, 9966, 3079) = 1

HCF of 917, 9966, 3079 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 917, 9966, 3079 is 1.

Highest Common Factor of 917,9966,3079 using Euclid's algorithm

Highest Common Factor of 917,9966,3079 is 1

Step 1: Since 9966 > 917, we apply the division lemma to 9966 and 917, to get

9966 = 917 x 10 + 796

Step 2: Since the reminder 917 ≠ 0, we apply division lemma to 796 and 917, to get

917 = 796 x 1 + 121

Step 3: We consider the new divisor 796 and the new remainder 121, and apply the division lemma to get

796 = 121 x 6 + 70

We consider the new divisor 121 and the new remainder 70,and apply the division lemma to get

121 = 70 x 1 + 51

We consider the new divisor 70 and the new remainder 51,and apply the division lemma to get

70 = 51 x 1 + 19

We consider the new divisor 51 and the new remainder 19,and apply the division lemma to get

51 = 19 x 2 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 917 and 9966 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(51,19) = HCF(70,51) = HCF(121,70) = HCF(796,121) = HCF(917,796) = HCF(9966,917) .

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

Step 1: Since 3079 > 1, we apply the division lemma to 3079 and 1, to get

3079 = 1 x 3079 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3079 is 1

Notice that 1 = HCF(3079,1) .

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Frequently Asked Questions on HCF of 917, 9966, 3079 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 917, 9966, 3079?

Answer: HCF of 917, 9966, 3079 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 917, 9966, 3079 using Euclid's Algorithm?

Answer: For arbitrary numbers 917, 9966, 3079 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.