Highest Common Factor of 7449, 6629 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 7449, 6629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7449, 6629 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 7449, 6629 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 7449, 6629 is 1.
HCF(7449, 6629) = 1
HCF of 7449, 6629 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7449, 6629 is 1.
Highest Common Factor of 7449,6629 is 1
Step 1: Since 7449 > 6629, we apply the division lemma to 7449 and 6629, to get
7449 = 6629 x 1 + 820
Step 2: Since the reminder 6629 ≠ 0, we apply division lemma to 820 and 6629, to get
6629 = 820 x 8 + 69
Step 3: We consider the new divisor 820 and the new remainder 69, and apply the division lemma to get
820 = 69 x 11 + 61
We consider the new divisor 69 and the new remainder 61,and apply the division lemma to get
69 = 61 x 1 + 8
We consider the new divisor 61 and the new remainder 8,and apply the division lemma to get
61 = 8 x 7 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7449 and 6629 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(61,8) = HCF(69,61) = HCF(820,69) = HCF(6629,820) = HCF(7449,6629) .
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Frequently Asked Questions on HCF of 7449, 6629 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 7449, 6629?
Answer: HCF of 7449, 6629 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7449, 6629 using Euclid's Algorithm?
Answer: For arbitrary numbers 7449, 6629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.