Highest Common Factor of 5587, 1036, 75432 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 5587, 1036, 75432 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5587, 1036, 75432 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 5587, 1036, 75432 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 5587, 1036, 75432 is 1.

HCF(5587, 1036, 75432) = 1

HCF of 5587, 1036, 75432 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 5587, 1036, 75432 is 1.

Highest Common Factor of 5587,1036,75432 using Euclid's algorithm

Highest Common Factor of 5587,1036,75432 is 1

Step 1: Since 5587 > 1036, we apply the division lemma to 5587 and 1036, to get

5587 = 1036 x 5 + 407

Step 2: Since the reminder 1036 ≠ 0, we apply division lemma to 407 and 1036, to get

1036 = 407 x 2 + 222

Step 3: We consider the new divisor 407 and the new remainder 222, and apply the division lemma to get

407 = 222 x 1 + 185

We consider the new divisor 222 and the new remainder 185,and apply the division lemma to get

222 = 185 x 1 + 37

We consider the new divisor 185 and the new remainder 37,and apply the division lemma to get

185 = 37 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 5587 and 1036 is 37

Notice that 37 = HCF(185,37) = HCF(222,185) = HCF(407,222) = HCF(1036,407) = HCF(5587,1036) .

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

Step 1: Since 75432 > 37, we apply the division lemma to 75432 and 37, to get

75432 = 37 x 2038 + 26

Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 26 and 37, to get

37 = 26 x 1 + 11

Step 3: We consider the new divisor 26 and the new remainder 11, and apply the division lemma to get

26 = 11 x 2 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 37 and 75432 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(37,26) = HCF(75432,37) .

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Frequently Asked Questions on HCF of 5587, 1036, 75432 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 5587, 1036, 75432?

Answer: HCF of 5587, 1036, 75432 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5587, 1036, 75432 using Euclid's Algorithm?

Answer: For arbitrary numbers 5587, 1036, 75432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.