Highest Common Factor of 1352, 4797, 32628 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 1352, 4797, 32628 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1352, 4797, 32628 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 1352, 4797, 32628 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 1352, 4797, 32628 is 1.

HCF(1352, 4797, 32628) = 1

HCF of 1352, 4797, 32628 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 1352, 4797, 32628 is 1.

Highest Common Factor of 1352,4797,32628 using Euclid's algorithm

Highest Common Factor of 1352,4797,32628 is 1

Step 1: Since 4797 > 1352, we apply the division lemma to 4797 and 1352, to get

4797 = 1352 x 3 + 741

Step 2: Since the reminder 1352 ≠ 0, we apply division lemma to 741 and 1352, to get

1352 = 741 x 1 + 611

Step 3: We consider the new divisor 741 and the new remainder 611, and apply the division lemma to get

741 = 611 x 1 + 130

We consider the new divisor 611 and the new remainder 130,and apply the division lemma to get

611 = 130 x 4 + 91

We consider the new divisor 130 and the new remainder 91,and apply the division lemma to get

130 = 91 x 1 + 39

We consider the new divisor 91 and the new remainder 39,and apply the division lemma to get

91 = 39 x 2 + 13

We consider the new divisor 39 and the new remainder 13,and apply the division lemma to get

39 = 13 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 1352 and 4797 is 13

Notice that 13 = HCF(39,13) = HCF(91,39) = HCF(130,91) = HCF(611,130) = HCF(741,611) = HCF(1352,741) = HCF(4797,1352) .

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

Step 1: Since 32628 > 13, we apply the division lemma to 32628 and 13, to get

32628 = 13 x 2509 + 11

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 11 and 13, to get

13 = 11 x 1 + 2

Step 3: We consider the new divisor 11 and the new remainder 2, and apply the division lemma to get

11 = 2 x 5 + 1

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 13 and 32628 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(32628,13) .

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Frequently Asked Questions on HCF of 1352, 4797, 32628 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 1352, 4797, 32628?

Answer: HCF of 1352, 4797, 32628 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1352, 4797, 32628 using Euclid's Algorithm?

Answer: For arbitrary numbers 1352, 4797, 32628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.