Highest Common Factor of 430, 7593, 5441 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 430, 7593, 5441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 430, 7593, 5441 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 430, 7593, 5441 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 430, 7593, 5441 is 1.

HCF(430, 7593, 5441) = 1

HCF of 430, 7593, 5441 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 430, 7593, 5441 is 1.

Highest Common Factor of 430,7593,5441 using Euclid's algorithm

Highest Common Factor of 430,7593,5441 is 1

Step 1: Since 7593 > 430, we apply the division lemma to 7593 and 430, to get

7593 = 430 x 17 + 283

Step 2: Since the reminder 430 ≠ 0, we apply division lemma to 283 and 430, to get

430 = 283 x 1 + 147

Step 3: We consider the new divisor 283 and the new remainder 147, and apply the division lemma to get

283 = 147 x 1 + 136

We consider the new divisor 147 and the new remainder 136,and apply the division lemma to get

147 = 136 x 1 + 11

We consider the new divisor 136 and the new remainder 11,and apply the division lemma to get

136 = 11 x 12 + 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 430 and 7593 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(136,11) = HCF(147,136) = HCF(283,147) = HCF(430,283) = HCF(7593,430) .

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

Step 1: Since 5441 > 1, we apply the division lemma to 5441 and 1, to get

5441 = 1 x 5441 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5441 is 1

Notice that 1 = HCF(5441,1) .

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Frequently Asked Questions on HCF of 430, 7593, 5441 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 430, 7593, 5441?

Answer: HCF of 430, 7593, 5441 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 430, 7593, 5441 using Euclid's Algorithm?

Answer: For arbitrary numbers 430, 7593, 5441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.