Highest Common Factor of 877, 333, 585 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 877, 333, 585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 877, 333, 585 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 877, 333, 585 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 877, 333, 585 is 1.
HCF(877, 333, 585) = 1
HCF of 877, 333, 585 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 877, 333, 585 is 1.
Highest Common Factor of 877,333,585 is 1
Step 1: Since 877 > 333, we apply the division lemma to 877 and 333, to get
877 = 333 x 2 + 211
Step 2: Since the reminder 333 ≠ 0, we apply division lemma to 211 and 333, to get
333 = 211 x 1 + 122
Step 3: We consider the new divisor 211 and the new remainder 122, and apply the division lemma to get
211 = 122 x 1 + 89
We consider the new divisor 122 and the new remainder 89,and apply the division lemma to get
122 = 89 x 1 + 33
We consider the new divisor 89 and the new remainder 33,and apply the division lemma to get
89 = 33 x 2 + 23
We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get
33 = 23 x 1 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 877 and 333 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(89,33) = HCF(122,89) = HCF(211,122) = HCF(333,211) = HCF(877,333) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 585 > 1, we apply the division lemma to 585 and 1, to get
585 = 1 x 585 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 585 is 1
Notice that 1 = HCF(585,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 877, 333, 585 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 877, 333, 585?
Answer: HCF of 877, 333, 585 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 877, 333, 585 using Euclid's Algorithm?
Answer: For arbitrary numbers 877, 333, 585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.