Highest Common Factor of 9642, 1022 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 9642, 1022 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9642, 1022 is 2 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 9642, 1022 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 9642, 1022 is 2.
HCF(9642, 1022) = 2
HCF of 9642, 1022 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9642, 1022 is 2.
Highest Common Factor of 9642,1022 is 2
Step 1: Since 9642 > 1022, we apply the division lemma to 9642 and 1022, to get
9642 = 1022 x 9 + 444
Step 2: Since the reminder 1022 ≠ 0, we apply division lemma to 444 and 1022, to get
1022 = 444 x 2 + 134
Step 3: We consider the new divisor 444 and the new remainder 134, and apply the division lemma to get
444 = 134 x 3 + 42
We consider the new divisor 134 and the new remainder 42,and apply the division lemma to get
134 = 42 x 3 + 8
We consider the new divisor 42 and the new remainder 8,and apply the division lemma to get
42 = 8 x 5 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9642 and 1022 is 2
Notice that 2 = HCF(8,2) = HCF(42,8) = HCF(134,42) = HCF(444,134) = HCF(1022,444) = HCF(9642,1022) .
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Frequently Asked Questions on HCF of 9642, 1022 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 9642, 1022?
Answer: HCF of 9642, 1022 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9642, 1022 using Euclid's Algorithm?
Answer: For arbitrary numbers 9642, 1022 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.