Highest Common Factor of 8031, 8816 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 8031, 8816 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8031, 8816 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 8031, 8816 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 8031, 8816 is 1.
HCF(8031, 8816) = 1
HCF of 8031, 8816 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8031, 8816 is 1.
Highest Common Factor of 8031,8816 is 1
Step 1: Since 8816 > 8031, we apply the division lemma to 8816 and 8031, to get
8816 = 8031 x 1 + 785
Step 2: Since the reminder 8031 ≠ 0, we apply division lemma to 785 and 8031, to get
8031 = 785 x 10 + 181
Step 3: We consider the new divisor 785 and the new remainder 181, and apply the division lemma to get
785 = 181 x 4 + 61
We consider the new divisor 181 and the new remainder 61,and apply the division lemma to get
181 = 61 x 2 + 59
We consider the new divisor 61 and the new remainder 59,and apply the division lemma to get
61 = 59 x 1 + 2
We consider the new divisor 59 and the new remainder 2,and apply the division lemma to get
59 = 2 x 29 + 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 8031 and 8816 is 1
Notice that 1 = HCF(2,1) = HCF(59,2) = HCF(61,59) = HCF(181,61) = HCF(785,181) = HCF(8031,785) = HCF(8816,8031) .
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Frequently Asked Questions on HCF of 8031, 8816 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 8031, 8816?
Answer: HCF of 8031, 8816 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8031, 8816 using Euclid's Algorithm?
Answer: For arbitrary numbers 8031, 8816 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
