Highest Common Factor of 8304, 7953 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 8304, 7953 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8304, 7953 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 8304, 7953 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 8304, 7953 is 3.
HCF(8304, 7953) = 3
HCF of 8304, 7953 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8304, 7953 is 3.
Highest Common Factor of 8304,7953 is 3
Step 1: Since 8304 > 7953, we apply the division lemma to 8304 and 7953, to get
8304 = 7953 x 1 + 351
Step 2: Since the reminder 7953 ≠ 0, we apply division lemma to 351 and 7953, to get
7953 = 351 x 22 + 231
Step 3: We consider the new divisor 351 and the new remainder 231, and apply the division lemma to get
351 = 231 x 1 + 120
We consider the new divisor 231 and the new remainder 120,and apply the division lemma to get
231 = 120 x 1 + 111
We consider the new divisor 120 and the new remainder 111,and apply the division lemma to get
120 = 111 x 1 + 9
We consider the new divisor 111 and the new remainder 9,and apply the division lemma to get
111 = 9 x 12 + 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 8304 and 7953 is 3
Notice that 3 = HCF(9,3) = HCF(111,9) = HCF(120,111) = HCF(231,120) = HCF(351,231) = HCF(7953,351) = HCF(8304,7953) .
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Frequently Asked Questions on HCF of 8304, 7953 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 8304, 7953?
Answer: HCF of 8304, 7953 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8304, 7953 using Euclid's Algorithm?
Answer: For arbitrary numbers 8304, 7953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.