Highest Common Factor of 3277, 1818, 38258 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 3277, 1818, 38258 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3277, 1818, 38258 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 3277, 1818, 38258 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 3277, 1818, 38258 is 1.

HCF(3277, 1818, 38258) = 1

HCF of 3277, 1818, 38258 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 3277, 1818, 38258 is 1.

Highest Common Factor of 3277,1818,38258 using Euclid's algorithm

Highest Common Factor of 3277,1818,38258 is 1

Step 1: Since 3277 > 1818, we apply the division lemma to 3277 and 1818, to get

3277 = 1818 x 1 + 1459

Step 2: Since the reminder 1818 ≠ 0, we apply division lemma to 1459 and 1818, to get

1818 = 1459 x 1 + 359

Step 3: We consider the new divisor 1459 and the new remainder 359, and apply the division lemma to get

1459 = 359 x 4 + 23

We consider the new divisor 359 and the new remainder 23,and apply the division lemma to get

359 = 23 x 15 + 14

We consider the new divisor 23 and the new remainder 14,and apply the division lemma to get

23 = 14 x 1 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 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 3277 and 1818 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(23,14) = HCF(359,23) = HCF(1459,359) = HCF(1818,1459) = HCF(3277,1818) .

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

Step 1: Since 38258 > 1, we apply the division lemma to 38258 and 1, to get

38258 = 1 x 38258 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38258 is 1

Notice that 1 = HCF(38258,1) .

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Frequently Asked Questions on HCF of 3277, 1818, 38258 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 3277, 1818, 38258?

Answer: HCF of 3277, 1818, 38258 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3277, 1818, 38258 using Euclid's Algorithm?

Answer: For arbitrary numbers 3277, 1818, 38258 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.