Highest Common Factor of 598, 933, 197 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 598, 933, 197 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 598, 933, 197 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 598, 933, 197 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 598, 933, 197 is 1.

HCF(598, 933, 197) = 1

HCF of 598, 933, 197 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 598, 933, 197 is 1.

Highest Common Factor of 598,933,197 using Euclid's algorithm

Highest Common Factor of 598,933,197 is 1

Step 1: Since 933 > 598, we apply the division lemma to 933 and 598, to get

933 = 598 x 1 + 335

Step 2: Since the reminder 598 ≠ 0, we apply division lemma to 335 and 598, to get

598 = 335 x 1 + 263

Step 3: We consider the new divisor 335 and the new remainder 263, and apply the division lemma to get

335 = 263 x 1 + 72

We consider the new divisor 263 and the new remainder 72,and apply the division lemma to get

263 = 72 x 3 + 47

We consider the new divisor 72 and the new remainder 47,and apply the division lemma to get

72 = 47 x 1 + 25

We consider the new divisor 47 and the new remainder 25,and apply the division lemma to get

47 = 25 x 1 + 22

We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get

25 = 22 x 1 + 3

We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get

22 = 3 x 7 + 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 598 and 933 is 1

Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(47,25) = HCF(72,47) = HCF(263,72) = HCF(335,263) = HCF(598,335) = HCF(933,598) .

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

Step 1: Since 197 > 1, we apply the division lemma to 197 and 1, to get

197 = 1 x 197 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 197 is 1

Notice that 1 = HCF(197,1) .

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Frequently Asked Questions on HCF of 598, 933, 197 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 598, 933, 197?

Answer: HCF of 598, 933, 197 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 598, 933, 197 using Euclid's Algorithm?

Answer: For arbitrary numbers 598, 933, 197 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.