Highest Common Factor of 832, 6820, 9043 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, 6820, 9043 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 832, 6820, 9043 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, 6820, 9043 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, 6820, 9043 is 1.
HCF(832, 6820, 9043) = 1
HCF of 832, 6820, 9043 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, 6820, 9043 is 1.
Highest Common Factor of 832,6820,9043 is 1
Step 1: Since 6820 > 832, we apply the division lemma to 6820 and 832, to get
6820 = 832 x 8 + 164
Step 2: Since the reminder 832 ≠ 0, we apply division lemma to 164 and 832, to get
832 = 164 x 5 + 12
Step 3: We consider the new divisor 164 and the new remainder 12, and apply the division lemma to get
164 = 12 x 13 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 832 and 6820 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(164,12) = HCF(832,164) = HCF(6820,832) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9043 > 4, we apply the division lemma to 9043 and 4, to get
9043 = 4 x 2260 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: 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 4 and 9043 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(9043,4) .
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Frequently Asked Questions on HCF of 832, 6820, 9043 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, 6820, 9043?
Answer: HCF of 832, 6820, 9043 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 832, 6820, 9043 using Euclid's Algorithm?
Answer: For arbitrary numbers 832, 6820, 9043 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.