Highest Common Factor of 9017, 1347, 21029 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 9017, 1347, 21029 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9017, 1347, 21029 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 9017, 1347, 21029 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 9017, 1347, 21029 is 1.

HCF(9017, 1347, 21029) = 1

HCF of 9017, 1347, 21029 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 9017, 1347, 21029 is 1.

Highest Common Factor of 9017,1347,21029 using Euclid's algorithm

Highest Common Factor of 9017,1347,21029 is 1

Step 1: Since 9017 > 1347, we apply the division lemma to 9017 and 1347, to get

9017 = 1347 x 6 + 935

Step 2: Since the reminder 1347 ≠ 0, we apply division lemma to 935 and 1347, to get

1347 = 935 x 1 + 412

Step 3: We consider the new divisor 935 and the new remainder 412, and apply the division lemma to get

935 = 412 x 2 + 111

We consider the new divisor 412 and the new remainder 111,and apply the division lemma to get

412 = 111 x 3 + 79

We consider the new divisor 111 and the new remainder 79,and apply the division lemma to get

111 = 79 x 1 + 32

We consider the new divisor 79 and the new remainder 32,and apply the division lemma to get

79 = 32 x 2 + 15

We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get

32 = 15 x 2 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 9017 and 1347 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(79,32) = HCF(111,79) = HCF(412,111) = HCF(935,412) = HCF(1347,935) = HCF(9017,1347) .

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

Step 1: Since 21029 > 1, we apply the division lemma to 21029 and 1, to get

21029 = 1 x 21029 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 21029 is 1

Notice that 1 = HCF(21029,1) .

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Frequently Asked Questions on HCF of 9017, 1347, 21029 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 9017, 1347, 21029?

Answer: HCF of 9017, 1347, 21029 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9017, 1347, 21029 using Euclid's Algorithm?

Answer: For arbitrary numbers 9017, 1347, 21029 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.