Highest Common Factor of 9167, 5217, 43989 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 9167, 5217, 43989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9167, 5217, 43989 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 9167, 5217, 43989 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 9167, 5217, 43989 is 1.

HCF(9167, 5217, 43989) = 1

HCF of 9167, 5217, 43989 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 9167, 5217, 43989 is 1.

Highest Common Factor of 9167,5217,43989 using Euclid's algorithm

Highest Common Factor of 9167,5217,43989 is 1

Step 1: Since 9167 > 5217, we apply the division lemma to 9167 and 5217, to get

9167 = 5217 x 1 + 3950

Step 2: Since the reminder 5217 ≠ 0, we apply division lemma to 3950 and 5217, to get

5217 = 3950 x 1 + 1267

Step 3: We consider the new divisor 3950 and the new remainder 1267, and apply the division lemma to get

3950 = 1267 x 3 + 149

We consider the new divisor 1267 and the new remainder 149,and apply the division lemma to get

1267 = 149 x 8 + 75

We consider the new divisor 149 and the new remainder 75,and apply the division lemma to get

149 = 75 x 1 + 74

We consider the new divisor 75 and the new remainder 74,and apply the division lemma to get

75 = 74 x 1 + 1

We consider the new divisor 74 and the new remainder 1,and apply the division lemma to get

74 = 1 x 74 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9167 and 5217 is 1

Notice that 1 = HCF(74,1) = HCF(75,74) = HCF(149,75) = HCF(1267,149) = HCF(3950,1267) = HCF(5217,3950) = HCF(9167,5217) .

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

Step 1: Since 43989 > 1, we apply the division lemma to 43989 and 1, to get

43989 = 1 x 43989 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43989 is 1

Notice that 1 = HCF(43989,1) .

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Frequently Asked Questions on HCF of 9167, 5217, 43989 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 9167, 5217, 43989?

Answer: HCF of 9167, 5217, 43989 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9167, 5217, 43989 using Euclid's Algorithm?

Answer: For arbitrary numbers 9167, 5217, 43989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.