Highest Common Factor of 8951, 9303 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 8951, 9303 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8951, 9303 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 8951, 9303 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 8951, 9303 is 1.
HCF(8951, 9303) = 1
HCF of 8951, 9303 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8951, 9303 is 1.
Highest Common Factor of 8951,9303 is 1
Step 1: Since 9303 > 8951, we apply the division lemma to 9303 and 8951, to get
9303 = 8951 x 1 + 352
Step 2: Since the reminder 8951 ≠ 0, we apply division lemma to 352 and 8951, to get
8951 = 352 x 25 + 151
Step 3: We consider the new divisor 352 and the new remainder 151, and apply the division lemma to get
352 = 151 x 2 + 50
We consider the new divisor 151 and the new remainder 50,and apply the division lemma to get
151 = 50 x 3 + 1
We consider the new divisor 50 and the new remainder 1,and apply the division lemma to get
50 = 1 x 50 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8951 and 9303 is 1
Notice that 1 = HCF(50,1) = HCF(151,50) = HCF(352,151) = HCF(8951,352) = HCF(9303,8951) .
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Frequently Asked Questions on HCF of 8951, 9303 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 8951, 9303?
Answer: HCF of 8951, 9303 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8951, 9303 using Euclid's Algorithm?
Answer: For arbitrary numbers 8951, 9303 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.