Highest Common Factor of 3477, 2399 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, 2399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3477, 2399 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, 2399 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, 2399 is 1.

HCF(3477, 2399) = 1

HCF of 3477, 2399 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, 2399 is 1.

Highest Common Factor of 3477,2399 using Euclid's algorithm

Highest Common Factor of 3477,2399 is 1

Step 1: Since 3477 > 2399, we apply the division lemma to 3477 and 2399, to get

3477 = 2399 x 1 + 1078

Step 2: Since the reminder 2399 ≠ 0, we apply division lemma to 1078 and 2399, to get

2399 = 1078 x 2 + 243

Step 3: We consider the new divisor 1078 and the new remainder 243, and apply the division lemma to get

1078 = 243 x 4 + 106

We consider the new divisor 243 and the new remainder 106,and apply the division lemma to get

243 = 106 x 2 + 31

We consider the new divisor 106 and the new remainder 31,and apply the division lemma to get

106 = 31 x 3 + 13

We consider the new divisor 31 and the new remainder 13,and apply the division lemma to get

31 = 13 x 2 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 3477 and 2399 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(31,13) = HCF(106,31) = HCF(243,106) = HCF(1078,243) = HCF(2399,1078) = HCF(3477,2399) .

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Frequently Asked Questions on HCF of 3477, 2399 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, 2399?

Answer: HCF of 3477, 2399 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3477, 2399 using Euclid's Algorithm?

Answer: For arbitrary numbers 3477, 2399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.