Highest Common Factor of 822, 593, 179 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 822, 593, 179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 822, 593, 179 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 822, 593, 179 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 822, 593, 179 is 1.
HCF(822, 593, 179) = 1
HCF of 822, 593, 179 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 822, 593, 179 is 1.
Highest Common Factor of 822,593,179 is 1
Step 1: Since 822 > 593, we apply the division lemma to 822 and 593, to get
822 = 593 x 1 + 229
Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 229 and 593, to get
593 = 229 x 2 + 135
Step 3: We consider the new divisor 229 and the new remainder 135, and apply the division lemma to get
229 = 135 x 1 + 94
We consider the new divisor 135 and the new remainder 94,and apply the division lemma to get
135 = 94 x 1 + 41
We consider the new divisor 94 and the new remainder 41,and apply the division lemma to get
94 = 41 x 2 + 12
We consider the new divisor 41 and the new remainder 12,and apply the division lemma to get
41 = 12 x 3 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 822 and 593 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(41,12) = HCF(94,41) = HCF(135,94) = HCF(229,135) = HCF(593,229) = HCF(822,593) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 179 > 1, we apply the division lemma to 179 and 1, to get
179 = 1 x 179 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 179 is 1
Notice that 1 = HCF(179,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 822, 593, 179 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 822, 593, 179?
Answer: HCF of 822, 593, 179 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 822, 593, 179 using Euclid's Algorithm?
Answer: For arbitrary numbers 822, 593, 179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.