Highest Common Factor of 5299, 3066 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 5299, 3066 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5299, 3066 is 7 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 5299, 3066 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 5299, 3066 is 7.
HCF(5299, 3066) = 7
HCF of 5299, 3066 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5299, 3066 is 7.
Highest Common Factor of 5299,3066 is 7
Step 1: Since 5299 > 3066, we apply the division lemma to 5299 and 3066, to get
5299 = 3066 x 1 + 2233
Step 2: Since the reminder 3066 ≠ 0, we apply division lemma to 2233 and 3066, to get
3066 = 2233 x 1 + 833
Step 3: We consider the new divisor 2233 and the new remainder 833, and apply the division lemma to get
2233 = 833 x 2 + 567
We consider the new divisor 833 and the new remainder 567,and apply the division lemma to get
833 = 567 x 1 + 266
We consider the new divisor 567 and the new remainder 266,and apply the division lemma to get
567 = 266 x 2 + 35
We consider the new divisor 266 and the new remainder 35,and apply the division lemma to get
266 = 35 x 7 + 21
We consider the new divisor 35 and the new remainder 21,and apply the division lemma to get
35 = 21 x 1 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5299 and 3066 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(35,21) = HCF(266,35) = HCF(567,266) = HCF(833,567) = HCF(2233,833) = HCF(3066,2233) = HCF(5299,3066) .
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Frequently Asked Questions on HCF of 5299, 3066 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 5299, 3066?
Answer: HCF of 5299, 3066 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5299, 3066 using Euclid's Algorithm?
Answer: For arbitrary numbers 5299, 3066 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.