Highest Common Factor of 9453, 9701 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 9453, 9701 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9453, 9701 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 9453, 9701 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 9453, 9701 is 1.
HCF(9453, 9701) = 1
HCF of 9453, 9701 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9453, 9701 is 1.
Highest Common Factor of 9453,9701 is 1
Step 1: Since 9701 > 9453, we apply the division lemma to 9701 and 9453, to get
9701 = 9453 x 1 + 248
Step 2: Since the reminder 9453 ≠ 0, we apply division lemma to 248 and 9453, to get
9453 = 248 x 38 + 29
Step 3: We consider the new divisor 248 and the new remainder 29, and apply the division lemma to get
248 = 29 x 8 + 16
We consider the new divisor 29 and the new remainder 16,and apply the division lemma to get
29 = 16 x 1 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9453 and 9701 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(29,16) = HCF(248,29) = HCF(9453,248) = HCF(9701,9453) .
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Frequently Asked Questions on HCF of 9453, 9701 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 9453, 9701?
Answer: HCF of 9453, 9701 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9453, 9701 using Euclid's Algorithm?
Answer: For arbitrary numbers 9453, 9701 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.