Highest Common Factor of 9415, 1136, 43822 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 9415, 1136, 43822 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9415, 1136, 43822 is 1 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 9415, 1136, 43822 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 9415, 1136, 43822 is 1.
HCF(9415, 1136, 43822) = 1
HCF of 9415, 1136, 43822 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9415, 1136, 43822 is 1.
Highest Common Factor of 9415,1136,43822 is 1
Step 1: Since 9415 > 1136, we apply the division lemma to 9415 and 1136, to get
9415 = 1136 x 8 + 327
Step 2: Since the reminder 1136 ≠ 0, we apply division lemma to 327 and 1136, to get
1136 = 327 x 3 + 155
Step 3: We consider the new divisor 327 and the new remainder 155, and apply the division lemma to get
327 = 155 x 2 + 17
We consider the new divisor 155 and the new remainder 17,and apply the division lemma to get
155 = 17 x 9 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9415 and 1136 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(155,17) = HCF(327,155) = HCF(1136,327) = HCF(9415,1136) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 43822 > 1, we apply the division lemma to 43822 and 1, to get
43822 = 1 x 43822 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43822 is 1
Notice that 1 = HCF(43822,1) .
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Frequently Asked Questions on HCF of 9415, 1136, 43822 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 9415, 1136, 43822?
Answer: HCF of 9415, 1136, 43822 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9415, 1136, 43822 using Euclid's Algorithm?
Answer: For arbitrary numbers 9415, 1136, 43822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
