Highest Common Factor of 493, 801, 459 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, 801, 459 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 493, 801, 459 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, 801, 459 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, 801, 459 is 1.
HCF(493, 801, 459) = 1
HCF of 493, 801, 459 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, 801, 459 is 1.
Highest Common Factor of 493,801,459 is 1
Step 1: Since 801 > 493, we apply the division lemma to 801 and 493, to get
801 = 493 x 1 + 308
Step 2: Since the reminder 493 ≠ 0, we apply division lemma to 308 and 493, to get
493 = 308 x 1 + 185
Step 3: We consider the new divisor 308 and the new remainder 185, and apply the division lemma to get
308 = 185 x 1 + 123
We consider the new divisor 185 and the new remainder 123,and apply the division lemma to get
185 = 123 x 1 + 62
We consider the new divisor 123 and the new remainder 62,and apply the division lemma to get
123 = 62 x 1 + 61
We consider the new divisor 62 and the new remainder 61,and apply the division lemma to get
62 = 61 x 1 + 1
We consider the new divisor 61 and the new remainder 1,and apply the division lemma to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 493 and 801 is 1
Notice that 1 = HCF(61,1) = HCF(62,61) = HCF(123,62) = HCF(185,123) = HCF(308,185) = HCF(493,308) = HCF(801,493) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 459 > 1, we apply the division lemma to 459 and 1, to get
459 = 1 x 459 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 459 is 1
Notice that 1 = HCF(459,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 493, 801, 459 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, 801, 459?
Answer: HCF of 493, 801, 459 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 493, 801, 459 using Euclid's Algorithm?
Answer: For arbitrary numbers 493, 801, 459 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
