Highest Common Factor of 933, 579, 864, 32 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 933, 579, 864, 32 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 933, 579, 864, 32 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 933, 579, 864, 32 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 933, 579, 864, 32 is 1.
HCF(933, 579, 864, 32) = 1
HCF of 933, 579, 864, 32 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 933, 579, 864, 32 is 1.
Highest Common Factor of 933,579,864,32 is 1
Step 1: Since 933 > 579, we apply the division lemma to 933 and 579, to get
933 = 579 x 1 + 354
Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 354 and 579, to get
579 = 354 x 1 + 225
Step 3: We consider the new divisor 354 and the new remainder 225, and apply the division lemma to get
354 = 225 x 1 + 129
We consider the new divisor 225 and the new remainder 129,and apply the division lemma to get
225 = 129 x 1 + 96
We consider the new divisor 129 and the new remainder 96,and apply the division lemma to get
129 = 96 x 1 + 33
We consider the new divisor 96 and the new remainder 33,and apply the division lemma to get
96 = 33 x 2 + 30
We consider the new divisor 33 and the new remainder 30,and apply the division lemma to get
33 = 30 x 1 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 933 and 579 is 3
Notice that 3 = HCF(30,3) = HCF(33,30) = HCF(96,33) = HCF(129,96) = HCF(225,129) = HCF(354,225) = HCF(579,354) = HCF(933,579) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 864 > 3, we apply the division lemma to 864 and 3, to get
864 = 3 x 288 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 864 is 3
Notice that 3 = HCF(864,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 32 > 3, we apply the division lemma to 32 and 3, to get
32 = 3 x 10 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 32 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) .
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Frequently Asked Questions on HCF of 933, 579, 864, 32 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 933, 579, 864, 32?
Answer: HCF of 933, 579, 864, 32 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 933, 579, 864, 32 using Euclid's Algorithm?
Answer: For arbitrary numbers 933, 579, 864, 32 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
