Highest Common Factor of 9996, 8433 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 9996, 8433 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9996, 8433 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 9996, 8433 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 9996, 8433 is 3.
HCF(9996, 8433) = 3
HCF of 9996, 8433 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9996, 8433 is 3.
Highest Common Factor of 9996,8433 is 3
Step 1: Since 9996 > 8433, we apply the division lemma to 9996 and 8433, to get
9996 = 8433 x 1 + 1563
Step 2: Since the reminder 8433 ≠ 0, we apply division lemma to 1563 and 8433, to get
8433 = 1563 x 5 + 618
Step 3: We consider the new divisor 1563 and the new remainder 618, and apply the division lemma to get
1563 = 618 x 2 + 327
We consider the new divisor 618 and the new remainder 327,and apply the division lemma to get
618 = 327 x 1 + 291
We consider the new divisor 327 and the new remainder 291,and apply the division lemma to get
327 = 291 x 1 + 36
We consider the new divisor 291 and the new remainder 36,and apply the division lemma to get
291 = 36 x 8 + 3
We consider the new divisor 36 and the new remainder 3,and apply the division lemma to get
36 = 3 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9996 and 8433 is 3
Notice that 3 = HCF(36,3) = HCF(291,36) = HCF(327,291) = HCF(618,327) = HCF(1563,618) = HCF(8433,1563) = HCF(9996,8433) .
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Frequently Asked Questions on HCF of 9996, 8433 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 9996, 8433?
Answer: HCF of 9996, 8433 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9996, 8433 using Euclid's Algorithm?
Answer: For arbitrary numbers 9996, 8433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.