Highest Common Factor of 5769, 5816 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 5769, 5816 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5769, 5816 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 5769, 5816 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 5769, 5816 is 1.
HCF(5769, 5816) = 1
HCF of 5769, 5816 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5769, 5816 is 1.
Highest Common Factor of 5769,5816 is 1
Step 1: Since 5816 > 5769, we apply the division lemma to 5816 and 5769, to get
5816 = 5769 x 1 + 47
Step 2: Since the reminder 5769 ≠ 0, we apply division lemma to 47 and 5769, to get
5769 = 47 x 122 + 35
Step 3: We consider the new divisor 47 and the new remainder 35, and apply the division lemma to get
47 = 35 x 1 + 12
We consider the new divisor 35 and the new remainder 12,and apply the division lemma to get
35 = 12 x 2 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5769 and 5816 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(35,12) = HCF(47,35) = HCF(5769,47) = HCF(5816,5769) .
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Frequently Asked Questions on HCF of 5769, 5816 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 5769, 5816?
Answer: HCF of 5769, 5816 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5769, 5816 using Euclid's Algorithm?
Answer: For arbitrary numbers 5769, 5816 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.