Highest Common Factor of 4027, 9455 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 4027, 9455 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4027, 9455 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 4027, 9455 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 4027, 9455 is 1.
HCF(4027, 9455) = 1
HCF of 4027, 9455 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4027, 9455 is 1.
Highest Common Factor of 4027,9455 is 1
Step 1: Since 9455 > 4027, we apply the division lemma to 9455 and 4027, to get
9455 = 4027 x 2 + 1401
Step 2: Since the reminder 4027 ≠ 0, we apply division lemma to 1401 and 4027, to get
4027 = 1401 x 2 + 1225
Step 3: We consider the new divisor 1401 and the new remainder 1225, and apply the division lemma to get
1401 = 1225 x 1 + 176
We consider the new divisor 1225 and the new remainder 176,and apply the division lemma to get
1225 = 176 x 6 + 169
We consider the new divisor 176 and the new remainder 169,and apply the division lemma to get
176 = 169 x 1 + 7
We consider the new divisor 169 and the new remainder 7,and apply the division lemma to get
169 = 7 x 24 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4027 and 9455 is 1
Notice that 1 = HCF(7,1) = HCF(169,7) = HCF(176,169) = HCF(1225,176) = HCF(1401,1225) = HCF(4027,1401) = HCF(9455,4027) .
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Frequently Asked Questions on HCF of 4027, 9455 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 4027, 9455?
Answer: HCF of 4027, 9455 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4027, 9455 using Euclid's Algorithm?
Answer: For arbitrary numbers 4027, 9455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.