Highest Common Factor of 6046, 9447 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 6046, 9447 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6046, 9447 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 6046, 9447 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 6046, 9447 is 1.
HCF(6046, 9447) = 1
HCF of 6046, 9447 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6046, 9447 is 1.
Highest Common Factor of 6046,9447 is 1
Step 1: Since 9447 > 6046, we apply the division lemma to 9447 and 6046, to get
9447 = 6046 x 1 + 3401
Step 2: Since the reminder 6046 ≠ 0, we apply division lemma to 3401 and 6046, to get
6046 = 3401 x 1 + 2645
Step 3: We consider the new divisor 3401 and the new remainder 2645, and apply the division lemma to get
3401 = 2645 x 1 + 756
We consider the new divisor 2645 and the new remainder 756,and apply the division lemma to get
2645 = 756 x 3 + 377
We consider the new divisor 756 and the new remainder 377,and apply the division lemma to get
756 = 377 x 2 + 2
We consider the new divisor 377 and the new remainder 2,and apply the division lemma to get
377 = 2 x 188 + 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 6046 and 9447 is 1
Notice that 1 = HCF(2,1) = HCF(377,2) = HCF(756,377) = HCF(2645,756) = HCF(3401,2645) = HCF(6046,3401) = HCF(9447,6046) .
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Frequently Asked Questions on HCF of 6046, 9447 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 6046, 9447?
Answer: HCF of 6046, 9447 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6046, 9447 using Euclid's Algorithm?
Answer: For arbitrary numbers 6046, 9447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
