Highest Common Factor of 434, 672, 593 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 434, 672, 593 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 434, 672, 593 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 434, 672, 593 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 434, 672, 593 is 1.

HCF(434, 672, 593) = 1

HCF of 434, 672, 593 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 434, 672, 593 is 1.

Highest Common Factor of 434,672,593 using Euclid's algorithm

Highest Common Factor of 434,672,593 is 1

Step 1: Since 672 > 434, we apply the division lemma to 672 and 434, to get

672 = 434 x 1 + 238

Step 2: Since the reminder 434 ≠ 0, we apply division lemma to 238 and 434, to get

434 = 238 x 1 + 196

Step 3: We consider the new divisor 238 and the new remainder 196, and apply the division lemma to get

238 = 196 x 1 + 42

We consider the new divisor 196 and the new remainder 42,and apply the division lemma to get

196 = 42 x 4 + 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 434 and 672 is 14

Notice that 14 = HCF(28,14) = HCF(42,28) = HCF(196,42) = HCF(238,196) = HCF(434,238) = HCF(672,434) .

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

Step 1: Since 593 > 14, we apply the division lemma to 593 and 14, to get

593 = 14 x 42 + 5

Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 5 and 14, to get

14 = 5 x 2 + 4

Step 3: We consider the new divisor 5 and the new remainder 4, and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 14 and 593 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(593,14) .

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Frequently Asked Questions on HCF of 434, 672, 593 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 434, 672, 593?

Answer: HCF of 434, 672, 593 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 434, 672, 593 using Euclid's Algorithm?

Answer: For arbitrary numbers 434, 672, 593 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.