Highest Common Factor of 3375, 1527, 42071 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 3375, 1527, 42071 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3375, 1527, 42071 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 3375, 1527, 42071 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 3375, 1527, 42071 is 1.

HCF(3375, 1527, 42071) = 1

HCF of 3375, 1527, 42071 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 3375, 1527, 42071 is 1.

Highest Common Factor of 3375,1527,42071 using Euclid's algorithm

Highest Common Factor of 3375,1527,42071 is 1

Step 1: Since 3375 > 1527, we apply the division lemma to 3375 and 1527, to get

3375 = 1527 x 2 + 321

Step 2: Since the reminder 1527 ≠ 0, we apply division lemma to 321 and 1527, to get

1527 = 321 x 4 + 243

Step 3: We consider the new divisor 321 and the new remainder 243, and apply the division lemma to get

321 = 243 x 1 + 78

We consider the new divisor 243 and the new remainder 78,and apply the division lemma to get

243 = 78 x 3 + 9

We consider the new divisor 78 and the new remainder 9,and apply the division lemma to get

78 = 9 x 8 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 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 3375 and 1527 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(78,9) = HCF(243,78) = HCF(321,243) = HCF(1527,321) = HCF(3375,1527) .

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

Step 1: Since 42071 > 3, we apply the division lemma to 42071 and 3, to get

42071 = 3 x 14023 + 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 42071 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(42071,3) .

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Frequently Asked Questions on HCF of 3375, 1527, 42071 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 3375, 1527, 42071?

Answer: HCF of 3375, 1527, 42071 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3375, 1527, 42071 using Euclid's Algorithm?

Answer: For arbitrary numbers 3375, 1527, 42071 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.