Highest Common Factor of 2084, 9423 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 2084, 9423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2084, 9423 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 2084, 9423 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 2084, 9423 is 1.
HCF(2084, 9423) = 1
HCF of 2084, 9423 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2084, 9423 is 1.
Highest Common Factor of 2084,9423 is 1
Step 1: Since 9423 > 2084, we apply the division lemma to 9423 and 2084, to get
9423 = 2084 x 4 + 1087
Step 2: Since the reminder 2084 ≠ 0, we apply division lemma to 1087 and 2084, to get
2084 = 1087 x 1 + 997
Step 3: We consider the new divisor 1087 and the new remainder 997, and apply the division lemma to get
1087 = 997 x 1 + 90
We consider the new divisor 997 and the new remainder 90,and apply the division lemma to get
997 = 90 x 11 + 7
We consider the new divisor 90 and the new remainder 7,and apply the division lemma to get
90 = 7 x 12 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2084 and 9423 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(90,7) = HCF(997,90) = HCF(1087,997) = HCF(2084,1087) = HCF(9423,2084) .
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Frequently Asked Questions on HCF of 2084, 9423 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 2084, 9423?
Answer: HCF of 2084, 9423 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2084, 9423 using Euclid's Algorithm?
Answer: For arbitrary numbers 2084, 9423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.