Highest Common Factor of 9455, 1039, 99008 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 9455, 1039, 99008 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9455, 1039, 99008 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 9455, 1039, 99008 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 9455, 1039, 99008 is 1.
HCF(9455, 1039, 99008) = 1
HCF of 9455, 1039, 99008 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9455, 1039, 99008 is 1.
Highest Common Factor of 9455,1039,99008 is 1
Step 1: Since 9455 > 1039, we apply the division lemma to 9455 and 1039, to get
9455 = 1039 x 9 + 104
Step 2: Since the reminder 1039 ≠ 0, we apply division lemma to 104 and 1039, to get
1039 = 104 x 9 + 103
Step 3: We consider the new divisor 104 and the new remainder 103, and apply the division lemma to get
104 = 103 x 1 + 1
We consider the new divisor 103 and the new remainder 1, and apply the division lemma to get
103 = 1 x 103 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9455 and 1039 is 1
Notice that 1 = HCF(103,1) = HCF(104,103) = HCF(1039,104) = HCF(9455,1039) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99008 > 1, we apply the division lemma to 99008 and 1, to get
99008 = 1 x 99008 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99008 is 1
Notice that 1 = HCF(99008,1) .
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Frequently Asked Questions on HCF of 9455, 1039, 99008 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 9455, 1039, 99008?
Answer: HCF of 9455, 1039, 99008 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9455, 1039, 99008 using Euclid's Algorithm?
Answer: For arbitrary numbers 9455, 1039, 99008 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.