Highest Common Factor of 9458, 5804 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 9458, 5804 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9458, 5804 is 2 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 9458, 5804 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 9458, 5804 is 2.
HCF(9458, 5804) = 2
HCF of 9458, 5804 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9458, 5804 is 2.
Highest Common Factor of 9458,5804 is 2
Step 1: Since 9458 > 5804, we apply the division lemma to 9458 and 5804, to get
9458 = 5804 x 1 + 3654
Step 2: Since the reminder 5804 ≠ 0, we apply division lemma to 3654 and 5804, to get
5804 = 3654 x 1 + 2150
Step 3: We consider the new divisor 3654 and the new remainder 2150, and apply the division lemma to get
3654 = 2150 x 1 + 1504
We consider the new divisor 2150 and the new remainder 1504,and apply the division lemma to get
2150 = 1504 x 1 + 646
We consider the new divisor 1504 and the new remainder 646,and apply the division lemma to get
1504 = 646 x 2 + 212
We consider the new divisor 646 and the new remainder 212,and apply the division lemma to get
646 = 212 x 3 + 10
We consider the new divisor 212 and the new remainder 10,and apply the division lemma to get
212 = 10 x 21 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9458 and 5804 is 2
Notice that 2 = HCF(10,2) = HCF(212,10) = HCF(646,212) = HCF(1504,646) = HCF(2150,1504) = HCF(3654,2150) = HCF(5804,3654) = HCF(9458,5804) .
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Frequently Asked Questions on HCF of 9458, 5804 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 9458, 5804?
Answer: HCF of 9458, 5804 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9458, 5804 using Euclid's Algorithm?
Answer: For arbitrary numbers 9458, 5804 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.