Highest Common Factor of 1433, 5534, 13129 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 1433, 5534, 13129 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1433, 5534, 13129 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 1433, 5534, 13129 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 1433, 5534, 13129 is 1.

HCF(1433, 5534, 13129) = 1

HCF of 1433, 5534, 13129 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 1433, 5534, 13129 is 1.

Highest Common Factor of 1433,5534,13129 using Euclid's algorithm

Highest Common Factor of 1433,5534,13129 is 1

Step 1: Since 5534 > 1433, we apply the division lemma to 5534 and 1433, to get

5534 = 1433 x 3 + 1235

Step 2: Since the reminder 1433 ≠ 0, we apply division lemma to 1235 and 1433, to get

1433 = 1235 x 1 + 198

Step 3: We consider the new divisor 1235 and the new remainder 198, and apply the division lemma to get

1235 = 198 x 6 + 47

We consider the new divisor 198 and the new remainder 47,and apply the division lemma to get

198 = 47 x 4 + 10

We consider the new divisor 47 and the new remainder 10,and apply the division lemma to get

47 = 10 x 4 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 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 1433 and 5534 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(47,10) = HCF(198,47) = HCF(1235,198) = HCF(1433,1235) = HCF(5534,1433) .

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

Step 1: Since 13129 > 1, we apply the division lemma to 13129 and 1, to get

13129 = 1 x 13129 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13129 is 1

Notice that 1 = HCF(13129,1) .

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Frequently Asked Questions on HCF of 1433, 5534, 13129 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 1433, 5534, 13129?

Answer: HCF of 1433, 5534, 13129 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1433, 5534, 13129 using Euclid's Algorithm?

Answer: For arbitrary numbers 1433, 5534, 13129 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.