Highest Common Factor of 812, 8180, 9084 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 812, 8180, 9084 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 812, 8180, 9084 is 4 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 812, 8180, 9084 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 812, 8180, 9084 is 4.
HCF(812, 8180, 9084) = 4
HCF of 812, 8180, 9084 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 812, 8180, 9084 is 4.
Highest Common Factor of 812,8180,9084 is 4
Step 1: Since 8180 > 812, we apply the division lemma to 8180 and 812, to get
8180 = 812 x 10 + 60
Step 2: Since the reminder 812 ≠ 0, we apply division lemma to 60 and 812, to get
812 = 60 x 13 + 32
Step 3: We consider the new divisor 60 and the new remainder 32, and apply the division lemma to get
60 = 32 x 1 + 28
We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get
32 = 28 x 1 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 812 and 8180 is 4
Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(60,32) = HCF(812,60) = HCF(8180,812) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9084 > 4, we apply the division lemma to 9084 and 4, to get
9084 = 4 x 2271 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 9084 is 4
Notice that 4 = HCF(9084,4) .
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Frequently Asked Questions on HCF of 812, 8180, 9084 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 812, 8180, 9084?
Answer: HCF of 812, 8180, 9084 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 812, 8180, 9084 using Euclid's Algorithm?
Answer: For arbitrary numbers 812, 8180, 9084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.