Highest Common Factor of 597, 983 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 597, 983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 597, 983 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 597, 983 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 597, 983 is 1.

HCF(597, 983) = 1

HCF of 597, 983 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 597, 983 is 1.

Highest Common Factor of 597,983 using Euclid's algorithm

Highest Common Factor of 597,983 is 1

Step 1: Since 983 > 597, we apply the division lemma to 983 and 597, to get

983 = 597 x 1 + 386

Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 386 and 597, to get

597 = 386 x 1 + 211

Step 3: We consider the new divisor 386 and the new remainder 211, and apply the division lemma to get

386 = 211 x 1 + 175

We consider the new divisor 211 and the new remainder 175,and apply the division lemma to get

211 = 175 x 1 + 36

We consider the new divisor 175 and the new remainder 36,and apply the division lemma to get

175 = 36 x 4 + 31

We consider the new divisor 36 and the new remainder 31,and apply the division lemma to get

36 = 31 x 1 + 5

We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get

31 = 5 x 6 + 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 597 and 983 is 1

Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(36,31) = HCF(175,36) = HCF(211,175) = HCF(386,211) = HCF(597,386) = HCF(983,597) .

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Frequently Asked Questions on HCF of 597, 983 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 597, 983?

Answer: HCF of 597, 983 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 597, 983 using Euclid's Algorithm?

Answer: For arbitrary numbers 597, 983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.