Highest Common Factor of 433, 594, 97 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 433, 594, 97 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 433, 594, 97 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 433, 594, 97 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 433, 594, 97 is 1.

HCF(433, 594, 97) = 1

HCF of 433, 594, 97 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 433, 594, 97 is 1.

Highest Common Factor of 433,594,97 using Euclid's algorithm

Highest Common Factor of 433,594,97 is 1

Step 1: Since 594 > 433, we apply the division lemma to 594 and 433, to get

594 = 433 x 1 + 161

Step 2: Since the reminder 433 ≠ 0, we apply division lemma to 161 and 433, to get

433 = 161 x 2 + 111

Step 3: We consider the new divisor 161 and the new remainder 111, and apply the division lemma to get

161 = 111 x 1 + 50

We consider the new divisor 111 and the new remainder 50,and apply the division lemma to get

111 = 50 x 2 + 11

We consider the new divisor 50 and the new remainder 11,and apply the division lemma to get

50 = 11 x 4 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 433 and 594 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(50,11) = HCF(111,50) = HCF(161,111) = HCF(433,161) = HCF(594,433) .

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

Step 1: Since 97 > 1, we apply the division lemma to 97 and 1, to get

97 = 1 x 97 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97 is 1

Notice that 1 = HCF(97,1) .

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Frequently Asked Questions on HCF of 433, 594, 97 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 433, 594, 97?

Answer: HCF of 433, 594, 97 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 433, 594, 97 using Euclid's Algorithm?

Answer: For arbitrary numbers 433, 594, 97 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.