Highest Common Factor of 492, 831, 333, 404 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 492, 831, 333, 404 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 492, 831, 333, 404 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 492, 831, 333, 404 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 492, 831, 333, 404 is 1.
HCF(492, 831, 333, 404) = 1
HCF of 492, 831, 333, 404 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 492, 831, 333, 404 is 1.
Highest Common Factor of 492,831,333,404 is 1
Step 1: Since 831 > 492, we apply the division lemma to 831 and 492, to get
831 = 492 x 1 + 339
Step 2: Since the reminder 492 ≠ 0, we apply division lemma to 339 and 492, to get
492 = 339 x 1 + 153
Step 3: We consider the new divisor 339 and the new remainder 153, and apply the division lemma to get
339 = 153 x 2 + 33
We consider the new divisor 153 and the new remainder 33,and apply the division lemma to get
153 = 33 x 4 + 21
We consider the new divisor 33 and the new remainder 21,and apply the division lemma to get
33 = 21 x 1 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 492 and 831 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(33,21) = HCF(153,33) = HCF(339,153) = HCF(492,339) = HCF(831,492) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 333 > 3, we apply the division lemma to 333 and 3, to get
333 = 3 x 111 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 333 is 3
Notice that 3 = HCF(333,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 404 > 3, we apply the division lemma to 404 and 3, to get
404 = 3 x 134 + 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 404 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(404,3) .
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Frequently Asked Questions on HCF of 492, 831, 333, 404 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 492, 831, 333, 404?
Answer: HCF of 492, 831, 333, 404 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 492, 831, 333, 404 using Euclid's Algorithm?
Answer: For arbitrary numbers 492, 831, 333, 404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.