Highest Common Factor of 997, 998 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 997, 998 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 997, 998 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 997, 998 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 997, 998 is 1.

HCF(997, 998) = 1

HCF of 997, 998 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 997, 998 is 1.

Highest Common Factor of 997,998 using Euclid's algorithm

Highest Common Factor of 997,998 is 1

Step 1: Since 998 > 997, we apply the division lemma to 998 and 997, to get

998 = 997 x 1 + 1

Step 2: Since the reminder 997 ≠ 0, we apply division lemma to 1 and 997, to get

997 = 1 x 997 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 997 and 998 is 1

Notice that 1 = HCF(997,1) = HCF(998,997) .

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Frequently Asked Questions on HCF of 997, 998 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 997, 998?

Answer: HCF of 997, 998 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 997, 998 using Euclid's Algorithm?

Answer: For arbitrary numbers 997, 998 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.