Highest Common Factor of 497, 663, 717 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 497, 663, 717 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 497, 663, 717 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 497, 663, 717 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 497, 663, 717 is 1.
HCF(497, 663, 717) = 1
HCF of 497, 663, 717 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 497, 663, 717 is 1.
Highest Common Factor of 497,663,717 is 1
Step 1: Since 663 > 497, we apply the division lemma to 663 and 497, to get
663 = 497 x 1 + 166
Step 2: Since the reminder 497 ≠ 0, we apply division lemma to 166 and 497, to get
497 = 166 x 2 + 165
Step 3: We consider the new divisor 166 and the new remainder 165, and apply the division lemma to get
166 = 165 x 1 + 1
We consider the new divisor 165 and the new remainder 1, and apply the division lemma to get
165 = 1 x 165 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 497 and 663 is 1
Notice that 1 = HCF(165,1) = HCF(166,165) = HCF(497,166) = HCF(663,497) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 717 > 1, we apply the division lemma to 717 and 1, to get
717 = 1 x 717 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 717 is 1
Notice that 1 = HCF(717,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 497, 663, 717 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 497, 663, 717?
Answer: HCF of 497, 663, 717 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 497, 663, 717 using Euclid's Algorithm?
Answer: For arbitrary numbers 497, 663, 717 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
