Highest Common Factor of 493, 239, 997 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 493, 239, 997 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 493, 239, 997 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 493, 239, 997 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 493, 239, 997 is 1.
HCF(493, 239, 997) = 1
HCF of 493, 239, 997 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 493, 239, 997 is 1.
Highest Common Factor of 493,239,997 is 1
Step 1: Since 493 > 239, we apply the division lemma to 493 and 239, to get
493 = 239 x 2 + 15
Step 2: Since the reminder 239 ≠ 0, we apply division lemma to 15 and 239, to get
239 = 15 x 15 + 14
Step 3: We consider the new divisor 15 and the new remainder 14, and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1, and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 493 and 239 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(239,15) = HCF(493,239) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 997 > 1, we apply the division lemma to 997 and 1, 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 1 and 997 is 1
Notice that 1 = HCF(997,1) .
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Frequently Asked Questions on HCF of 493, 239, 997 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 493, 239, 997?
Answer: HCF of 493, 239, 997 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 493, 239, 997 using Euclid's Algorithm?
Answer: For arbitrary numbers 493, 239, 997 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.