Highest Common Factor of 816, 9044, 4115 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 816, 9044, 4115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 816, 9044, 4115 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 816, 9044, 4115 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 816, 9044, 4115 is 1.
HCF(816, 9044, 4115) = 1
HCF of 816, 9044, 4115 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 816, 9044, 4115 is 1.
Highest Common Factor of 816,9044,4115 is 1
Step 1: Since 9044 > 816, we apply the division lemma to 9044 and 816, to get
9044 = 816 x 11 + 68
Step 2: Since the reminder 816 ≠ 0, we apply division lemma to 68 and 816, to get
816 = 68 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 68, the HCF of 816 and 9044 is 68
Notice that 68 = HCF(816,68) = HCF(9044,816) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4115 > 68, we apply the division lemma to 4115 and 68, to get
4115 = 68 x 60 + 35
Step 2: Since the reminder 68 ≠ 0, we apply division lemma to 35 and 68, to get
68 = 35 x 1 + 33
Step 3: We consider the new divisor 35 and the new remainder 33, and apply the division lemma to get
35 = 33 x 1 + 2
We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get
33 = 2 x 16 + 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 68 and 4115 is 1
Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(35,33) = HCF(68,35) = HCF(4115,68) .
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Frequently Asked Questions on HCF of 816, 9044, 4115 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 816, 9044, 4115?
Answer: HCF of 816, 9044, 4115 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 816, 9044, 4115 using Euclid's Algorithm?
Answer: For arbitrary numbers 816, 9044, 4115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.