Highest Common Factor of 3477, 5897, 10321 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 3477, 5897, 10321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3477, 5897, 10321 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 3477, 5897, 10321 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 3477, 5897, 10321 is 1.

HCF(3477, 5897, 10321) = 1

HCF of 3477, 5897, 10321 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 3477, 5897, 10321 is 1.

Highest Common Factor of 3477,5897,10321 using Euclid's algorithm

Highest Common Factor of 3477,5897,10321 is 1

Step 1: Since 5897 > 3477, we apply the division lemma to 5897 and 3477, to get

5897 = 3477 x 1 + 2420

Step 2: Since the reminder 3477 ≠ 0, we apply division lemma to 2420 and 3477, to get

3477 = 2420 x 1 + 1057

Step 3: We consider the new divisor 2420 and the new remainder 1057, and apply the division lemma to get

2420 = 1057 x 2 + 306

We consider the new divisor 1057 and the new remainder 306,and apply the division lemma to get

1057 = 306 x 3 + 139

We consider the new divisor 306 and the new remainder 139,and apply the division lemma to get

306 = 139 x 2 + 28

We consider the new divisor 139 and the new remainder 28,and apply the division lemma to get

139 = 28 x 4 + 27

We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get

28 = 27 x 1 + 1

We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get

27 = 1 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3477 and 5897 is 1

Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(139,28) = HCF(306,139) = HCF(1057,306) = HCF(2420,1057) = HCF(3477,2420) = HCF(5897,3477) .

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

Step 1: Since 10321 > 1, we apply the division lemma to 10321 and 1, to get

10321 = 1 x 10321 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10321 is 1

Notice that 1 = HCF(10321,1) .

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Frequently Asked Questions on HCF of 3477, 5897, 10321 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 3477, 5897, 10321?

Answer: HCF of 3477, 5897, 10321 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3477, 5897, 10321 using Euclid's Algorithm?

Answer: For arbitrary numbers 3477, 5897, 10321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.