Highest Common Factor of 9273, 1016 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 9273, 1016 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9273, 1016 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 9273, 1016 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 9273, 1016 is 1.
HCF(9273, 1016) = 1
HCF of 9273, 1016 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9273, 1016 is 1.
Highest Common Factor of 9273,1016 is 1
Step 1: Since 9273 > 1016, we apply the division lemma to 9273 and 1016, to get
9273 = 1016 x 9 + 129
Step 2: Since the reminder 1016 ≠ 0, we apply division lemma to 129 and 1016, to get
1016 = 129 x 7 + 113
Step 3: We consider the new divisor 129 and the new remainder 113, and apply the division lemma to get
129 = 113 x 1 + 16
We consider the new divisor 113 and the new remainder 16,and apply the division lemma to get
113 = 16 x 7 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9273 and 1016 is 1
Notice that 1 = HCF(16,1) = HCF(113,16) = HCF(129,113) = HCF(1016,129) = HCF(9273,1016) .
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Frequently Asked Questions on HCF of 9273, 1016 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 9273, 1016?
Answer: HCF of 9273, 1016 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9273, 1016 using Euclid's Algorithm?
Answer: For arbitrary numbers 9273, 1016 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.