Highest Common Factor of 860, 8509, 2442 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 860, 8509, 2442 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 860, 8509, 2442 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 860, 8509, 2442 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 860, 8509, 2442 is 1.

HCF(860, 8509, 2442) = 1

HCF of 860, 8509, 2442 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 860, 8509, 2442 is 1.

Highest Common Factor of 860,8509,2442 using Euclid's algorithm

Highest Common Factor of 860,8509,2442 is 1

Step 1: Since 8509 > 860, we apply the division lemma to 8509 and 860, to get

8509 = 860 x 9 + 769

Step 2: Since the reminder 860 ≠ 0, we apply division lemma to 769 and 860, to get

860 = 769 x 1 + 91

Step 3: We consider the new divisor 769 and the new remainder 91, and apply the division lemma to get

769 = 91 x 8 + 41

We consider the new divisor 91 and the new remainder 41,and apply the division lemma to get

91 = 41 x 2 + 9

We consider the new divisor 41 and the new remainder 9,and apply the division lemma to get

41 = 9 x 4 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 860 and 8509 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(41,9) = HCF(91,41) = HCF(769,91) = HCF(860,769) = HCF(8509,860) .

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

Step 1: Since 2442 > 1, we apply the division lemma to 2442 and 1, to get

2442 = 1 x 2442 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2442 is 1

Notice that 1 = HCF(2442,1) .

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Frequently Asked Questions on HCF of 860, 8509, 2442 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 860, 8509, 2442?

Answer: HCF of 860, 8509, 2442 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 860, 8509, 2442 using Euclid's Algorithm?

Answer: For arbitrary numbers 860, 8509, 2442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.