Highest Common Factor of 432, 9891 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 432, 9891 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 432, 9891 is 9 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 432, 9891 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 432, 9891 is 9.
HCF(432, 9891) = 9
HCF of 432, 9891 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 432, 9891 is 9.
Highest Common Factor of 432,9891 is 9
Step 1: Since 9891 > 432, we apply the division lemma to 9891 and 432, to get
9891 = 432 x 22 + 387
Step 2: Since the reminder 432 ≠ 0, we apply division lemma to 387 and 432, to get
432 = 387 x 1 + 45
Step 3: We consider the new divisor 387 and the new remainder 45, and apply the division lemma to get
387 = 45 x 8 + 27
We consider the new divisor 45 and the new remainder 27,and apply the division lemma to get
45 = 27 x 1 + 18
We consider the new divisor 27 and the new remainder 18,and apply the division lemma to get
27 = 18 x 1 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 432 and 9891 is 9
Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(45,27) = HCF(387,45) = HCF(432,387) = HCF(9891,432) .
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Frequently Asked Questions on HCF of 432, 9891 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 432, 9891?
Answer: HCF of 432, 9891 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 432, 9891 using Euclid's Algorithm?
Answer: For arbitrary numbers 432, 9891 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.