Highest Common Factor of 3039, 8886, 37868 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 3039, 8886, 37868 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3039, 8886, 37868 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 3039, 8886, 37868 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 3039, 8886, 37868 is 1.

HCF(3039, 8886, 37868) = 1

HCF of 3039, 8886, 37868 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 3039, 8886, 37868 is 1.

Highest Common Factor of 3039,8886,37868 using Euclid's algorithm

Highest Common Factor of 3039,8886,37868 is 1

Step 1: Since 8886 > 3039, we apply the division lemma to 8886 and 3039, to get

8886 = 3039 x 2 + 2808

Step 2: Since the reminder 3039 ≠ 0, we apply division lemma to 2808 and 3039, to get

3039 = 2808 x 1 + 231

Step 3: We consider the new divisor 2808 and the new remainder 231, and apply the division lemma to get

2808 = 231 x 12 + 36

We consider the new divisor 231 and the new remainder 36,and apply the division lemma to get

231 = 36 x 6 + 15

We consider the new divisor 36 and the new remainder 15,and apply the division lemma to get

36 = 15 x 2 + 6

We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get

15 = 6 x 2 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3039 and 8886 is 3

Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(36,15) = HCF(231,36) = HCF(2808,231) = HCF(3039,2808) = HCF(8886,3039) .

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

Step 1: Since 37868 > 3, we apply the division lemma to 37868 and 3, to get

37868 = 3 x 12622 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 37868 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(37868,3) .

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Frequently Asked Questions on HCF of 3039, 8886, 37868 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 3039, 8886, 37868?

Answer: HCF of 3039, 8886, 37868 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3039, 8886, 37868 using Euclid's Algorithm?

Answer: For arbitrary numbers 3039, 8886, 37868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.