Highest Common Factor of 3168, 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 3168, 9303 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3168, 9303 is 3 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 3168, 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 3168, 9303 is 3.
HCF(3168, 9303) = 3
HCF of 3168, 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 3168, 9303 is 3.
Highest Common Factor of 3168,9303 is 3
Step 1: Since 9303 > 3168, we apply the division lemma to 9303 and 3168, to get
9303 = 3168 x 2 + 2967
Step 2: Since the reminder 3168 ≠ 0, we apply division lemma to 2967 and 3168, to get
3168 = 2967 x 1 + 201
Step 3: We consider the new divisor 2967 and the new remainder 201, and apply the division lemma to get
2967 = 201 x 14 + 153
We consider the new divisor 201 and the new remainder 153,and apply the division lemma to get
201 = 153 x 1 + 48
We consider the new divisor 153 and the new remainder 48,and apply the division lemma to get
153 = 48 x 3 + 9
We consider the new divisor 48 and the new remainder 9,and apply the division lemma to get
48 = 9 x 5 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3168 and 9303 is 3
Notice that 3 = HCF(9,3) = HCF(48,9) = HCF(153,48) = HCF(201,153) = HCF(2967,201) = HCF(3168,2967) = HCF(9303,3168) .
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Frequently Asked Questions on HCF of 3168, 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 3168, 9303?
Answer: HCF of 3168, 9303 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3168, 9303 using Euclid's Algorithm?
Answer: For arbitrary numbers 3168, 9303 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.