Highest Common Factor of 3029, 7632 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 3029, 7632 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3029, 7632 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 3029, 7632 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 3029, 7632 is 1.
HCF(3029, 7632) = 1
HCF of 3029, 7632 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3029, 7632 is 1.
Highest Common Factor of 3029,7632 is 1
Step 1: Since 7632 > 3029, we apply the division lemma to 7632 and 3029, to get
7632 = 3029 x 2 + 1574
Step 2: Since the reminder 3029 ≠ 0, we apply division lemma to 1574 and 3029, to get
3029 = 1574 x 1 + 1455
Step 3: We consider the new divisor 1574 and the new remainder 1455, and apply the division lemma to get
1574 = 1455 x 1 + 119
We consider the new divisor 1455 and the new remainder 119,and apply the division lemma to get
1455 = 119 x 12 + 27
We consider the new divisor 119 and the new remainder 27,and apply the division lemma to get
119 = 27 x 4 + 11
We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get
27 = 11 x 2 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3029 and 7632 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(119,27) = HCF(1455,119) = HCF(1574,1455) = HCF(3029,1574) = HCF(7632,3029) .
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Frequently Asked Questions on HCF of 3029, 7632 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 3029, 7632?
Answer: HCF of 3029, 7632 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3029, 7632 using Euclid's Algorithm?
Answer: For arbitrary numbers 3029, 7632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.