Highest Common Factor of 9475, 6449 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 9475, 6449 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9475, 6449 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 9475, 6449 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 9475, 6449 is 1.
HCF(9475, 6449) = 1
HCF of 9475, 6449 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9475, 6449 is 1.
Highest Common Factor of 9475,6449 is 1
Step 1: Since 9475 > 6449, we apply the division lemma to 9475 and 6449, to get
9475 = 6449 x 1 + 3026
Step 2: Since the reminder 6449 ≠ 0, we apply division lemma to 3026 and 6449, to get
6449 = 3026 x 2 + 397
Step 3: We consider the new divisor 3026 and the new remainder 397, and apply the division lemma to get
3026 = 397 x 7 + 247
We consider the new divisor 397 and the new remainder 247,and apply the division lemma to get
397 = 247 x 1 + 150
We consider the new divisor 247 and the new remainder 150,and apply the division lemma to get
247 = 150 x 1 + 97
We consider the new divisor 150 and the new remainder 97,and apply the division lemma to get
150 = 97 x 1 + 53
We consider the new divisor 97 and the new remainder 53,and apply the division lemma to get
97 = 53 x 1 + 44
We consider the new divisor 53 and the new remainder 44,and apply the division lemma to get
53 = 44 x 1 + 9
We consider the new divisor 44 and the new remainder 9,and apply the division lemma to get
44 = 9 x 4 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9475 and 6449 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(44,9) = HCF(53,44) = HCF(97,53) = HCF(150,97) = HCF(247,150) = HCF(397,247) = HCF(3026,397) = HCF(6449,3026) = HCF(9475,6449) .
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Frequently Asked Questions on HCF of 9475, 6449 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 9475, 6449?
Answer: HCF of 9475, 6449 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9475, 6449 using Euclid's Algorithm?
Answer: For arbitrary numbers 9475, 6449 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
