Highest Common Factor of 9254, 1873 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 9254, 1873 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9254, 1873 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 9254, 1873 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 9254, 1873 is 1.
HCF(9254, 1873) = 1
HCF of 9254, 1873 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9254, 1873 is 1.
Highest Common Factor of 9254,1873 is 1
Step 1: Since 9254 > 1873, we apply the division lemma to 9254 and 1873, to get
9254 = 1873 x 4 + 1762
Step 2: Since the reminder 1873 ≠ 0, we apply division lemma to 1762 and 1873, to get
1873 = 1762 x 1 + 111
Step 3: We consider the new divisor 1762 and the new remainder 111, and apply the division lemma to get
1762 = 111 x 15 + 97
We consider the new divisor 111 and the new remainder 97,and apply the division lemma to get
111 = 97 x 1 + 14
We consider the new divisor 97 and the new remainder 14,and apply the division lemma to get
97 = 14 x 6 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9254 and 1873 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(97,14) = HCF(111,97) = HCF(1762,111) = HCF(1873,1762) = HCF(9254,1873) .
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Frequently Asked Questions on HCF of 9254, 1873 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 9254, 1873?
Answer: HCF of 9254, 1873 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9254, 1873 using Euclid's Algorithm?
Answer: For arbitrary numbers 9254, 1873 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.