Highest Common Factor of 601, 923, 597 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 601, 923, 597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 601, 923, 597 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 601, 923, 597 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 601, 923, 597 is 1.

HCF(601, 923, 597) = 1

HCF of 601, 923, 597 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 601, 923, 597 is 1.

Highest Common Factor of 601,923,597 using Euclid's algorithm

Highest Common Factor of 601,923,597 is 1

Step 1: Since 923 > 601, we apply the division lemma to 923 and 601, to get

923 = 601 x 1 + 322

Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 322 and 601, to get

601 = 322 x 1 + 279

Step 3: We consider the new divisor 322 and the new remainder 279, and apply the division lemma to get

322 = 279 x 1 + 43

We consider the new divisor 279 and the new remainder 43,and apply the division lemma to get

279 = 43 x 6 + 21

We consider the new divisor 43 and the new remainder 21,and apply the division lemma to get

43 = 21 x 2 + 1

We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get

21 = 1 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 601 and 923 is 1

Notice that 1 = HCF(21,1) = HCF(43,21) = HCF(279,43) = HCF(322,279) = HCF(601,322) = HCF(923,601) .

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

Step 1: Since 597 > 1, we apply the division lemma to 597 and 1, to get

597 = 1 x 597 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 597 is 1

Notice that 1 = HCF(597,1) .

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Frequently Asked Questions on HCF of 601, 923, 597 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 601, 923, 597?

Answer: HCF of 601, 923, 597 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 601, 923, 597 using Euclid's Algorithm?

Answer: For arbitrary numbers 601, 923, 597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.