Highest Common Factor of 8319, 5905, 89014 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 8319, 5905, 89014 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8319, 5905, 89014 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 8319, 5905, 89014 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 8319, 5905, 89014 is 1.

HCF(8319, 5905, 89014) = 1

HCF of 8319, 5905, 89014 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 8319, 5905, 89014 is 1.

Highest Common Factor of 8319,5905,89014 using Euclid's algorithm

Highest Common Factor of 8319,5905,89014 is 1

Step 1: Since 8319 > 5905, we apply the division lemma to 8319 and 5905, to get

8319 = 5905 x 1 + 2414

Step 2: Since the reminder 5905 ≠ 0, we apply division lemma to 2414 and 5905, to get

5905 = 2414 x 2 + 1077

Step 3: We consider the new divisor 2414 and the new remainder 1077, and apply the division lemma to get

2414 = 1077 x 2 + 260

We consider the new divisor 1077 and the new remainder 260,and apply the division lemma to get

1077 = 260 x 4 + 37

We consider the new divisor 260 and the new remainder 37,and apply the division lemma to get

260 = 37 x 7 + 1

We consider the new divisor 37 and the new remainder 1,and apply the division lemma to get

37 = 1 x 37 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8319 and 5905 is 1

Notice that 1 = HCF(37,1) = HCF(260,37) = HCF(1077,260) = HCF(2414,1077) = HCF(5905,2414) = HCF(8319,5905) .

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

Step 1: Since 89014 > 1, we apply the division lemma to 89014 and 1, to get

89014 = 1 x 89014 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 89014 is 1

Notice that 1 = HCF(89014,1) .

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Frequently Asked Questions on HCF of 8319, 5905, 89014 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 8319, 5905, 89014?

Answer: HCF of 8319, 5905, 89014 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8319, 5905, 89014 using Euclid's Algorithm?

Answer: For arbitrary numbers 8319, 5905, 89014 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.