Highest Common Factor of 9116, 5900, 43092 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 9116, 5900, 43092 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9116, 5900, 43092 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 9116, 5900, 43092 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 9116, 5900, 43092 is 4.
HCF(9116, 5900, 43092) = 4
HCF of 9116, 5900, 43092 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9116, 5900, 43092 is 4.
Highest Common Factor of 9116,5900,43092 is 4
Step 1: Since 9116 > 5900, we apply the division lemma to 9116 and 5900, to get
9116 = 5900 x 1 + 3216
Step 2: Since the reminder 5900 ≠ 0, we apply division lemma to 3216 and 5900, to get
5900 = 3216 x 1 + 2684
Step 3: We consider the new divisor 3216 and the new remainder 2684, and apply the division lemma to get
3216 = 2684 x 1 + 532
We consider the new divisor 2684 and the new remainder 532,and apply the division lemma to get
2684 = 532 x 5 + 24
We consider the new divisor 532 and the new remainder 24,and apply the division lemma to get
532 = 24 x 22 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9116 and 5900 is 4
Notice that 4 = HCF(24,4) = HCF(532,24) = HCF(2684,532) = HCF(3216,2684) = HCF(5900,3216) = HCF(9116,5900) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 43092 > 4, we apply the division lemma to 43092 and 4, to get
43092 = 4 x 10773 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 43092 is 4
Notice that 4 = HCF(43092,4) .
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Frequently Asked Questions on HCF of 9116, 5900, 43092 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 9116, 5900, 43092?
Answer: HCF of 9116, 5900, 43092 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9116, 5900, 43092 using Euclid's Algorithm?
Answer: For arbitrary numbers 9116, 5900, 43092 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.