Highest Common Factor of 6064, 9473 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 6064, 9473 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6064, 9473 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 6064, 9473 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 6064, 9473 is 1.
HCF(6064, 9473) = 1
HCF of 6064, 9473 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6064, 9473 is 1.
Highest Common Factor of 6064,9473 is 1
Step 1: Since 9473 > 6064, we apply the division lemma to 9473 and 6064, to get
9473 = 6064 x 1 + 3409
Step 2: Since the reminder 6064 ≠ 0, we apply division lemma to 3409 and 6064, to get
6064 = 3409 x 1 + 2655
Step 3: We consider the new divisor 3409 and the new remainder 2655, and apply the division lemma to get
3409 = 2655 x 1 + 754
We consider the new divisor 2655 and the new remainder 754,and apply the division lemma to get
2655 = 754 x 3 + 393
We consider the new divisor 754 and the new remainder 393,and apply the division lemma to get
754 = 393 x 1 + 361
We consider the new divisor 393 and the new remainder 361,and apply the division lemma to get
393 = 361 x 1 + 32
We consider the new divisor 361 and the new remainder 32,and apply the division lemma to get
361 = 32 x 11 + 9
We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get
32 = 9 x 3 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6064 and 9473 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(361,32) = HCF(393,361) = HCF(754,393) = HCF(2655,754) = HCF(3409,2655) = HCF(6064,3409) = HCF(9473,6064) .
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Frequently Asked Questions on HCF of 6064, 9473 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 6064, 9473?
Answer: HCF of 6064, 9473 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6064, 9473 using Euclid's Algorithm?
Answer: For arbitrary numbers 6064, 9473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.