Highest Common Factor of 9458, 3884, 46620 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, 3884, 46620 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9458, 3884, 46620 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, 3884, 46620 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, 3884, 46620 is 2.
HCF(9458, 3884, 46620) = 2
HCF of 9458, 3884, 46620 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, 3884, 46620 is 2.
Highest Common Factor of 9458,3884,46620 is 2
Step 1: Since 9458 > 3884, we apply the division lemma to 9458 and 3884, to get
9458 = 3884 x 2 + 1690
Step 2: Since the reminder 3884 ≠ 0, we apply division lemma to 1690 and 3884, to get
3884 = 1690 x 2 + 504
Step 3: We consider the new divisor 1690 and the new remainder 504, and apply the division lemma to get
1690 = 504 x 3 + 178
We consider the new divisor 504 and the new remainder 178,and apply the division lemma to get
504 = 178 x 2 + 148
We consider the new divisor 178 and the new remainder 148,and apply the division lemma to get
178 = 148 x 1 + 30
We consider the new divisor 148 and the new remainder 30,and apply the division lemma to get
148 = 30 x 4 + 28
We consider the new divisor 30 and the new remainder 28,and apply the division lemma to get
30 = 28 x 1 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9458 and 3884 is 2
Notice that 2 = HCF(28,2) = HCF(30,28) = HCF(148,30) = HCF(178,148) = HCF(504,178) = HCF(1690,504) = HCF(3884,1690) = HCF(9458,3884) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46620 > 2, we apply the division lemma to 46620 and 2, to get
46620 = 2 x 23310 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 46620 is 2
Notice that 2 = HCF(46620,2) .
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Frequently Asked Questions on HCF of 9458, 3884, 46620 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, 3884, 46620?
Answer: HCF of 9458, 3884, 46620 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9458, 3884, 46620 using Euclid's Algorithm?
Answer: For arbitrary numbers 9458, 3884, 46620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.