Highest Common Factor of 8609, 2183, 84879 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 8609, 2183, 84879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8609, 2183, 84879 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 8609, 2183, 84879 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 8609, 2183, 84879 is 1.

HCF(8609, 2183, 84879) = 1

HCF of 8609, 2183, 84879 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 8609, 2183, 84879 is 1.

Highest Common Factor of 8609,2183,84879 using Euclid's algorithm

Highest Common Factor of 8609,2183,84879 is 1

Step 1: Since 8609 > 2183, we apply the division lemma to 8609 and 2183, to get

8609 = 2183 x 3 + 2060

Step 2: Since the reminder 2183 ≠ 0, we apply division lemma to 2060 and 2183, to get

2183 = 2060 x 1 + 123

Step 3: We consider the new divisor 2060 and the new remainder 123, and apply the division lemma to get

2060 = 123 x 16 + 92

We consider the new divisor 123 and the new remainder 92,and apply the division lemma to get

123 = 92 x 1 + 31

We consider the new divisor 92 and the new remainder 31,and apply the division lemma to get

92 = 31 x 2 + 30

We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get

31 = 30 x 1 + 1

We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8609 and 2183 is 1

Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(92,31) = HCF(123,92) = HCF(2060,123) = HCF(2183,2060) = HCF(8609,2183) .

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

Step 1: Since 84879 > 1, we apply the division lemma to 84879 and 1, to get

84879 = 1 x 84879 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84879 is 1

Notice that 1 = HCF(84879,1) .

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Frequently Asked Questions on HCF of 8609, 2183, 84879 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 8609, 2183, 84879?

Answer: HCF of 8609, 2183, 84879 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8609, 2183, 84879 using Euclid's Algorithm?

Answer: For arbitrary numbers 8609, 2183, 84879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.