Highest Common Factor of 9533, 1431 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 9533, 1431 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9533, 1431 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 9533, 1431 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 9533, 1431 is 1.
HCF(9533, 1431) = 1
HCF of 9533, 1431 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9533, 1431 is 1.
Highest Common Factor of 9533,1431 is 1
Step 1: Since 9533 > 1431, we apply the division lemma to 9533 and 1431, to get
9533 = 1431 x 6 + 947
Step 2: Since the reminder 1431 ≠ 0, we apply division lemma to 947 and 1431, to get
1431 = 947 x 1 + 484
Step 3: We consider the new divisor 947 and the new remainder 484, and apply the division lemma to get
947 = 484 x 1 + 463
We consider the new divisor 484 and the new remainder 463,and apply the division lemma to get
484 = 463 x 1 + 21
We consider the new divisor 463 and the new remainder 21,and apply the division lemma to get
463 = 21 x 22 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9533 and 1431 is 1
Notice that 1 = HCF(21,1) = HCF(463,21) = HCF(484,463) = HCF(947,484) = HCF(1431,947) = HCF(9533,1431) .
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Frequently Asked Questions on HCF of 9533, 1431 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 9533, 1431?
Answer: HCF of 9533, 1431 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9533, 1431 using Euclid's Algorithm?
Answer: For arbitrary numbers 9533, 1431 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.