Highest Common Factor of 9406, 5166, 25182 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 9406, 5166, 25182 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9406, 5166, 25182 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 9406, 5166, 25182 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 9406, 5166, 25182 is 2.
HCF(9406, 5166, 25182) = 2
HCF of 9406, 5166, 25182 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9406, 5166, 25182 is 2.
Highest Common Factor of 9406,5166,25182 is 2
Step 1: Since 9406 > 5166, we apply the division lemma to 9406 and 5166, to get
9406 = 5166 x 1 + 4240
Step 2: Since the reminder 5166 ≠ 0, we apply division lemma to 4240 and 5166, to get
5166 = 4240 x 1 + 926
Step 3: We consider the new divisor 4240 and the new remainder 926, and apply the division lemma to get
4240 = 926 x 4 + 536
We consider the new divisor 926 and the new remainder 536,and apply the division lemma to get
926 = 536 x 1 + 390
We consider the new divisor 536 and the new remainder 390,and apply the division lemma to get
536 = 390 x 1 + 146
We consider the new divisor 390 and the new remainder 146,and apply the division lemma to get
390 = 146 x 2 + 98
We consider the new divisor 146 and the new remainder 98,and apply the division lemma to get
146 = 98 x 1 + 48
We consider the new divisor 98 and the new remainder 48,and apply the division lemma to get
98 = 48 x 2 + 2
We consider the new divisor 48 and the new remainder 2,and apply the division lemma to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9406 and 5166 is 2
Notice that 2 = HCF(48,2) = HCF(98,48) = HCF(146,98) = HCF(390,146) = HCF(536,390) = HCF(926,536) = HCF(4240,926) = HCF(5166,4240) = HCF(9406,5166) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 25182 > 2, we apply the division lemma to 25182 and 2, to get
25182 = 2 x 12591 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 25182 is 2
Notice that 2 = HCF(25182,2) .
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Frequently Asked Questions on HCF of 9406, 5166, 25182 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 9406, 5166, 25182?
Answer: HCF of 9406, 5166, 25182 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9406, 5166, 25182 using Euclid's Algorithm?
Answer: For arbitrary numbers 9406, 5166, 25182 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.