Highest Common Factor of 1162, 5152, 58503 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 1162, 5152, 58503 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1162, 5152, 58503 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 1162, 5152, 58503 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 1162, 5152, 58503 is 1.

HCF(1162, 5152, 58503) = 1

HCF of 1162, 5152, 58503 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 1162, 5152, 58503 is 1.

Highest Common Factor of 1162,5152,58503 using Euclid's algorithm

Highest Common Factor of 1162,5152,58503 is 1

Step 1: Since 5152 > 1162, we apply the division lemma to 5152 and 1162, to get

5152 = 1162 x 4 + 504

Step 2: Since the reminder 1162 ≠ 0, we apply division lemma to 504 and 1162, to get

1162 = 504 x 2 + 154

Step 3: We consider the new divisor 504 and the new remainder 154, and apply the division lemma to get

504 = 154 x 3 + 42

We consider the new divisor 154 and the new remainder 42,and apply the division lemma to get

154 = 42 x 3 + 28

We consider the new divisor 42 and the new remainder 28,and apply the division lemma to get

42 = 28 x 1 + 14

We consider the new divisor 28 and the new remainder 14,and apply the division lemma to get

28 = 14 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 1162 and 5152 is 14

Notice that 14 = HCF(28,14) = HCF(42,28) = HCF(154,42) = HCF(504,154) = HCF(1162,504) = HCF(5152,1162) .

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

Step 1: Since 58503 > 14, we apply the division lemma to 58503 and 14, to get

58503 = 14 x 4178 + 11

Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 11 and 14, to get

14 = 11 x 1 + 3

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

11 = 3 x 3 + 2

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

3 = 2 x 1 + 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 14 and 58503 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(58503,14) .

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Frequently Asked Questions on HCF of 1162, 5152, 58503 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 1162, 5152, 58503?

Answer: HCF of 1162, 5152, 58503 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1162, 5152, 58503 using Euclid's Algorithm?

Answer: For arbitrary numbers 1162, 5152, 58503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.