Highest Common Factor of 832, 648, 411 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 832, 648, 411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 832, 648, 411 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 832, 648, 411 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 832, 648, 411 is 1.
HCF(832, 648, 411) = 1
HCF of 832, 648, 411 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 832, 648, 411 is 1.
Highest Common Factor of 832,648,411 is 1
Step 1: Since 832 > 648, we apply the division lemma to 832 and 648, to get
832 = 648 x 1 + 184
Step 2: Since the reminder 648 ≠ 0, we apply division lemma to 184 and 648, to get
648 = 184 x 3 + 96
Step 3: We consider the new divisor 184 and the new remainder 96, and apply the division lemma to get
184 = 96 x 1 + 88
We consider the new divisor 96 and the new remainder 88,and apply the division lemma to get
96 = 88 x 1 + 8
We consider the new divisor 88 and the new remainder 8,and apply the division lemma to get
88 = 8 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 832 and 648 is 8
Notice that 8 = HCF(88,8) = HCF(96,88) = HCF(184,96) = HCF(648,184) = HCF(832,648) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 411 > 8, we apply the division lemma to 411 and 8, to get
411 = 8 x 51 + 3
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 3 and 8, to get
8 = 3 x 2 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 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 8 and 411 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(411,8) .
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Frequently Asked Questions on HCF of 832, 648, 411 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 832, 648, 411?
Answer: HCF of 832, 648, 411 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 832, 648, 411 using Euclid's Algorithm?
Answer: For arbitrary numbers 832, 648, 411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.