Highest Common Factor of 1587, 2028, 42533 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 1587, 2028, 42533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1587, 2028, 42533 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 1587, 2028, 42533 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 1587, 2028, 42533 is 1.

HCF(1587, 2028, 42533) = 1

HCF of 1587, 2028, 42533 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 1587, 2028, 42533 is 1.

Highest Common Factor of 1587,2028,42533 using Euclid's algorithm

Highest Common Factor of 1587,2028,42533 is 1

Step 1: Since 2028 > 1587, we apply the division lemma to 2028 and 1587, to get

2028 = 1587 x 1 + 441

Step 2: Since the reminder 1587 ≠ 0, we apply division lemma to 441 and 1587, to get

1587 = 441 x 3 + 264

Step 3: We consider the new divisor 441 and the new remainder 264, and apply the division lemma to get

441 = 264 x 1 + 177

We consider the new divisor 264 and the new remainder 177,and apply the division lemma to get

264 = 177 x 1 + 87

We consider the new divisor 177 and the new remainder 87,and apply the division lemma to get

177 = 87 x 2 + 3

We consider the new divisor 87 and the new remainder 3,and apply the division lemma to get

87 = 3 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1587 and 2028 is 3

Notice that 3 = HCF(87,3) = HCF(177,87) = HCF(264,177) = HCF(441,264) = HCF(1587,441) = HCF(2028,1587) .

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

Step 1: Since 42533 > 3, we apply the division lemma to 42533 and 3, to get

42533 = 3 x 14177 + 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 42533 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(42533,3) .

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Frequently Asked Questions on HCF of 1587, 2028, 42533 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 1587, 2028, 42533?

Answer: HCF of 1587, 2028, 42533 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1587, 2028, 42533 using Euclid's Algorithm?

Answer: For arbitrary numbers 1587, 2028, 42533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.