Highest Common Factor of 9460, 5864 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 9460, 5864 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9460, 5864 is 4 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 9460, 5864 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 9460, 5864 is 4.
HCF(9460, 5864) = 4
HCF of 9460, 5864 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9460, 5864 is 4.
Highest Common Factor of 9460,5864 is 4
Step 1: Since 9460 > 5864, we apply the division lemma to 9460 and 5864, to get
9460 = 5864 x 1 + 3596
Step 2: Since the reminder 5864 ≠ 0, we apply division lemma to 3596 and 5864, to get
5864 = 3596 x 1 + 2268
Step 3: We consider the new divisor 3596 and the new remainder 2268, and apply the division lemma to get
3596 = 2268 x 1 + 1328
We consider the new divisor 2268 and the new remainder 1328,and apply the division lemma to get
2268 = 1328 x 1 + 940
We consider the new divisor 1328 and the new remainder 940,and apply the division lemma to get
1328 = 940 x 1 + 388
We consider the new divisor 940 and the new remainder 388,and apply the division lemma to get
940 = 388 x 2 + 164
We consider the new divisor 388 and the new remainder 164,and apply the division lemma to get
388 = 164 x 2 + 60
We consider the new divisor 164 and the new remainder 60,and apply the division lemma to get
164 = 60 x 2 + 44
We consider the new divisor 60 and the new remainder 44,and apply the division lemma to get
60 = 44 x 1 + 16
We consider the new divisor 44 and the new remainder 16,and apply the division lemma to get
44 = 16 x 2 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9460 and 5864 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(44,16) = HCF(60,44) = HCF(164,60) = HCF(388,164) = HCF(940,388) = HCF(1328,940) = HCF(2268,1328) = HCF(3596,2268) = HCF(5864,3596) = HCF(9460,5864) .
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Frequently Asked Questions on HCF of 9460, 5864 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 9460, 5864?
Answer: HCF of 9460, 5864 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9460, 5864 using Euclid's Algorithm?
Answer: For arbitrary numbers 9460, 5864 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
