Highest Common Factor of 856, 8797, 3529 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 856, 8797, 3529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 856, 8797, 3529 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 856, 8797, 3529 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 856, 8797, 3529 is 1.

HCF(856, 8797, 3529) = 1

HCF of 856, 8797, 3529 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 856, 8797, 3529 is 1.

Highest Common Factor of 856,8797,3529 using Euclid's algorithm

Highest Common Factor of 856,8797,3529 is 1

Step 1: Since 8797 > 856, we apply the division lemma to 8797 and 856, to get

8797 = 856 x 10 + 237

Step 2: Since the reminder 856 ≠ 0, we apply division lemma to 237 and 856, to get

856 = 237 x 3 + 145

Step 3: We consider the new divisor 237 and the new remainder 145, and apply the division lemma to get

237 = 145 x 1 + 92

We consider the new divisor 145 and the new remainder 92,and apply the division lemma to get

145 = 92 x 1 + 53

We consider the new divisor 92 and the new remainder 53,and apply the division lemma to get

92 = 53 x 1 + 39

We consider the new divisor 53 and the new remainder 39,and apply the division lemma to get

53 = 39 x 1 + 14

We consider the new divisor 39 and the new remainder 14,and apply the division lemma to get

39 = 14 x 2 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 856 and 8797 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(39,14) = HCF(53,39) = HCF(92,53) = HCF(145,92) = HCF(237,145) = HCF(856,237) = HCF(8797,856) .

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

Step 1: Since 3529 > 1, we apply the division lemma to 3529 and 1, to get

3529 = 1 x 3529 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3529 is 1

Notice that 1 = HCF(3529,1) .

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Frequently Asked Questions on HCF of 856, 8797, 3529 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 856, 8797, 3529?

Answer: HCF of 856, 8797, 3529 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 856, 8797, 3529 using Euclid's Algorithm?

Answer: For arbitrary numbers 856, 8797, 3529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.