Highest Common Factor of 9428, 8127 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 9428, 8127 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9428, 8127 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 9428, 8127 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 9428, 8127 is 1.
HCF(9428, 8127) = 1
HCF of 9428, 8127 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9428, 8127 is 1.
Highest Common Factor of 9428,8127 is 1
Step 1: Since 9428 > 8127, we apply the division lemma to 9428 and 8127, to get
9428 = 8127 x 1 + 1301
Step 2: Since the reminder 8127 ≠ 0, we apply division lemma to 1301 and 8127, to get
8127 = 1301 x 6 + 321
Step 3: We consider the new divisor 1301 and the new remainder 321, and apply the division lemma to get
1301 = 321 x 4 + 17
We consider the new divisor 321 and the new remainder 17,and apply the division lemma to get
321 = 17 x 18 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 9428 and 8127 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(321,17) = HCF(1301,321) = HCF(8127,1301) = HCF(9428,8127) .
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Frequently Asked Questions on HCF of 9428, 8127 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 9428, 8127?
Answer: HCF of 9428, 8127 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9428, 8127 using Euclid's Algorithm?
Answer: For arbitrary numbers 9428, 8127 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.